Quiz about GENERAL QA IN GENERAL AWARENESS

Question 1

How did the wizard manage to help the Skunk?

Accepted Answer

NA

Question 2

Read the passage below and answer the questions that follow  Food Deserts and Nutrition1. Many of the serious health concerns in modern America can be linked to poor diet. People who regularly consume foods high in sodium sugar and saturated fats not only increase their chances of obesity but also increase their risks of developing heart disease hypertension diabetes and several types of cancer. Although some people who regularly consume unhealthy foods do so knowingly there is a significant portion of the population that remains under-educated about proper nutrition. Individuals who live in food deserts in low-income neighbourhoods that lack easy access to healthy affordable food may not even have the opportunity to obtain nutritious food.2. Food deserts are located in high-poverty areas such as sparsely populated rural areas or densely populated low-income urban centres. Food deserts most often develop when major supermarket chains either relocate out of these areas or simply refrain from building stores there in the first place. Major food retailer chains tend to limit their store locations to wealthier urban or suburban neighbourhoods. This means that those who live in high poverty areas often also live miles away from access to fresh meat and dairy products available at supermarkets. Residents of these areas who do not have cars have no other option but to travel long distances on public transportation to do their grocery shopping or remain limited to the food available at local convenience stores and gas stations. These types of food retailers often only sell packaged processed foods that o er little nutritional value.3. Furthermore fast food restaurants are disproportionately concentrated in low-income areas. Recent estimates suggest that those living in the poorest areas of a city experience I.5 times more exposure to fast food restaurants than the wealthiest inhabitants of the city. As individuals who live in food deserts tend to get their meals from fast food restaurants or convenience stores they often suffer from a variety of health issues. Research has found that individuals who live in low-income neighbourhoods are much more likely to develop problems with obesity diabetes and hypertension than those who live in more affluent neighbourhoods.1. Why is a poor diet a serious health concern in modern America?a. A poor diet is a health concern because it can lead to malnutrition and decreased risk of developing heart disease hypertension diabetes and several types of cancer.b. A poor diet is a health concern because it can lead to extreme physical fitness and decreased risk of developing heart disease hypertension diabetes and several types of cancerc. A poor diet is a health concern because it can lead to obesity and increased risk of developing heart disease hypertension diabetes and several types of cancer.d. A poor diet is a health concern because it can lead to malnutrition and increased risk of developing stomach cramps hypotension joint pain and several types of cancer.2. How do food deserts develop?a. Food deserts often develop when major supermarket chains either relocate out of these areas or simply refrain from building stores there in the first place.b. Food deserts often develop when major supermarket chains food the market and edge out local retailers.c. Food deserts often develop when small local retailers either relocate out of these areas or simply refrain from building stores there in the first place.d. Food deserts often develop when major supermarket chains either relocate into these areas or simply begin building stores there in the first place.3. Why do people living in low income areas suffer greatly from a variety of health issues?a. People living in low income areas are most often exposed to meals from unclean restaurants. They often suffer from a variety of health issues.b. People living in low income areas are most often exposed to infrequent meals. They often suffer from a variety of health issues.c. People living in low income areas are most often exposed to meals from exclusive restaurants or organic markets. They often suffer from a variety of health issues.d. People living in low income areas are most often exposed to meals from fast restaurants or convenience stores.They often suffer from a variety of health issues.4. Choose the correct option The synonym of to stop oneself from doing something as given in paragraph 2 is ______.a. proceedb. refrainc. desertd. chain5. Choose the correct option The antonym of visitor as given in paragraph 3 is ______.a. individualb. neighbourhoodc. inhabitantd. rural6. Choose the correct option The synonym of reasonably priced as given in paragraph 1 is ______.a. significantb. affordablec. povertyd. sparsely7. Choose the correct option The antonym of impoverished as given in paragraph 3 is _______.a. assuageb. destitutec. inhabitedd. affluent8. Which types of foods increase a persons chances of obesity?a. Foods that are high in sodium sugar and saturated fats increase a persons chances of obesity.b. Foods that are high in protein carbohydrates and lipids increase a persons chances of obesity.c. Foods that are very low in sodium sugar and saturated fats increase a persons chances of obesity.d. Foods that are very low in nutritional value and which have no animal proteins are likely to increase a persons chances of obesity.9. Why do people living in food deserts need to travel long distances to do their grocery shopping?a. People who live in food deserts do not have access to packaged processed food products due to the lack of supermarkets. So if they want food with proper nutritional value they have to travel long distances.b. People who live in food deserts do not have access to the full variety of fast foods especially desserts due to the lack of supermarkets. So if they want food that tastes good they have to travel long distances.c. People who live in food deserts do not have access to fresh meat and dairy products due to the lack of supermarkets. So if they want food with proper nutritional value they have to travel long distances.d. People who live in food deserts do not have access to the processed foods found at local retailers. So if they want food that tastes good they have to travel long distances.10. Choose the correct option  The main sources of food in food deserts are _____.a. local convenience stores and supermarketsb. local convenience stores and gas stationsc. supermarkets and gas stationsd. gas stations and local farms

Accepted Answer

NA

Question 3

Two cubes have their volumes in the ratio 1 27. Find the ratio of their surface areas.

Accepted Answer

NA

Question 4

Read the passage below and answer the questions that follow Reading for Success1. Not too long ago a group of teachers conducted a study on students and their learning problems. A curious fact came to light from the study. The teachers discovered that the students who did poorly in subjects such as math and art could still do very well in other subjects.But the students who were poor at reading performed badly in all subjects.2. No doubt there are other skills involved such as learning to add and subtract in math but most of the explanations about how to do things have to be read by the students. Much of the assignments require students to read long sets of directions and questions. These often involve story problems that are explained in words and have to be read and understood before they can be solved.3. So your success or failure in class depends on your ability to read and understand the study-related material. In college almost all your study time will be spent in reading. You need more and more information and most of this information comes in the printed form. Success in various courses vastly depends on the ability to read and students who cannot read or at least read well enough to master the material are in trouble.4. We are fast moving into a world where every day more and more technical reading is required. Instructions for using applications are becoming more complex. There are written instructions related to food preparation traffic signs travel and safety and security all requiring the ability to read. People in modern society read hundreds of words every day.5. The ability to procure and retain a job is directly related to your ability to read. The number of semi-skilled and professional occupations that require high reading ability is increasing rapidly. Today a person who cannot read is almost unemployable. Even the simplest jobs require some amount of reading ability and many people advanced to more important and better paying jobs by getting additional knowledge skills and qualifications through reading. The more specialised the job the greater the need to read confidently quickly and efficiently.1. What did the study of a group of teachers reveal?a. The study revealed that students who did poorly in reading could still do very well in other subjects but the students who were poor at math and art performed badly in all subjects.b. The study revealed that students who did poorly in subjects such as math and art could still do very badly in other subjects but the students who were poor at reading performed badly in all subjects.c. The study revealed that students who did poorly in reading could still do very well in other subjects but the students who were poor at math and art performed well in all other subjects.d. The study revealed that students who did poorly in subjects such as math and art could still do very well in other subjects but the students who were poor at reading performed badly in all subjects.2. How are instructions for using applications becoming more complex?a. Instructions for using applications are becoming more complex with written instructions related to food preparation traffic signs travel and safety and security all requiring the ability to read.b. Instructions for using applications now have multiple steps and require assembly before use. They require a knowledge of engineering.c. Instructions for using applications are becoming more complex with written instructions related to food preparation and safety and security all requiring the ability to read multiple languages.d. Instructions for using applications now have multiple steps and require quality checks before use. They require a knowledge of engineering safety rules and language.3. How is the ability to read essential in procuring and retaining a job?a. The human brain cannot retain all the knowledge one might require during the course of their job. In such instances the ability to read and refer to relevant material is essential.b. Most entry-level jobs require degrees which cannot be obtained without a knowledge of language and reading. Professional growth is impossible without literacy.c. Even the simplest jobs require some amount of reading ability and many people advance to more important and better paying jobs by getting additional knowledge skills and qualifications through reading.d. Reading makes people better at communication in general which helps them while looking for job opportunities. Advancing to a better job also requires a network that is formed through communication.4. Choose the correct option The synonym of unusual as given in paragraph 1 is ______.a. curiousb. discoveredc. learnd. study5. Choose the correct option The antonym of clumsily as given in paragraph 5 is ______.a. abilityb. efficientlyc. quicklyd. professional6. Choose the correct option The synonym of complicated as given in paragraph 4 is ______.a. cardiob. comprehendc. materiald. complex7. Choose the correct option The antonym of slowly as given in paragraph 5 is ______.a. relatedb. printedc. rapidlyd. affluent8. How does reading help you to do well in college?a. Reading is very important in school but it does not matter as much in college. Most of the college students study time involves project work. However to be accepted to college your performance in school needs to be impressive.b. Most of a college students study time is spent reading to access more information. If the student cannot read well enough to understand and master the material they will not do well in college.c. College students do not have to do any major reading as most of their study time is spent preparing for internships and presentations. Therefore reading is not important in college.d. Reading is important in college for the student to understand the instructions that the professor gives about the various projects that the student has to do. If the instructions are not understood properly the project will be done incorrectly.9. Choose the correct option  Today a person who cannot read is almost _____.a. illiterateb. professionalc. unsuccessfuld. unemployable10. Why is reading important in math?a. In math before any calculations can be done the meaning and directions given in the question have to be understood by the student. If understood incorrectly the calculations will be wrong. Therefore reading is important in math.b. In math reading is not important as most of the questions are number based. They do not require an impressive reading ability. Being able to read numbers and mathematical signs is enough.c. In math the student has to read the numbers carefully to make sure that there are no mistakes in any of the calculations. Therefore reading is important in math.d. In math teachers need to have mastery over reading in order to explain mathematical concepts to the students. Therefore reading is important in math.

Accepted Answer

NA

Question 5

What was Roger Skunk’s problem?

Accepted Answer

NA

Question 6

I. Why be a teacher? The short answer is easy ● to witness the diversity of growth in young people and their joy in learning ● to encourage lifelong learning — both for yourself and for others ● to experience the challenge of devising and doing interesting exciting activities for the young There is more to be said about the value of teaching. Consider for instance the “young people” referred to above. In one class they could be six years olds; in another they could be sixteen or even older. They could be rich poor or somewhere in between. There are all sorts of possibilities. But whoever the particular students are they will have potential as human beings — possibly not yet realised — that can contribute to society. A teacher’s job — in fact a teacher’s privilege — is to help particular “young people” to realise their potential.II. As a teacher you will be able to lay the groundwork for lifelong learning. You will often work with students long enough to convey a crucial message there is much in life to learn — more than any one teacher or school can provide in a lifetime. Whatever you teach its immensity can be a source of curiosity wonder and excitement. Learning when properly understood is never-ending though it often focuses on short-term immediate concerns. As a teacher you will have an advantage not shared by every member of society the excuse not only to teach valuable knowledge and skills but to point students beyond what they will be able to learn from you. III. Whatever you teach you will be able to feel the satisfaction of designing and orchestrating complex activities that communicate new ideas and skills effectively. The challenge is attractive to many teachers because that is where they exercise judgment and “artistry” freely and frequently. Teaching will need you to know how to explain ideas clearly to present new materials in a sensible sequence and at an appropriate pace to point out connections between their new learning and their prior experiences.IV. The complexity of classroom life guarantees that teaching never needs to get boring. Something new and exciting is bound to occur when you least expect it. A student shows an insight that you never expected to see — or fails to show one that you were sure he had. After teaching a particular learning objective several times you realise that you understand it differently than the first time you taught it. The job never stays the same; it evolves continually. As long as you keep teaching you will have a job with novelty.1. Which of these BEST describes the organisation of the passage? A. comparing and contrasting information from different sources B. bringing in personal accounts of different people to make a point C. introducing certain points and explaining them in subsequent paragraphs D. reminiscing about events that happened in the past to support the details given2. What are the authors MOST LIKELY referring to when they say short-term immediate concerns?Learning when properly understood is never-ending even though it often focuses on short-term immediate concerns. A. the excessive focus on quick memorisation of facts B. the need to create lesson plans to cater to different grade levels C. the emphasis on learning concepts with a clear understanding of them D. the need to have meticulous plans to help students develop self-learning habits3. What is the meaning of orchestrating in the above line? ...you will be able to feel the satisfaction of designing and orchestrating complex activities... A. analysing and evaluating something beforehand B. planning and organising something carefully C. explaining the difficulty in doing something D. introducing something spontaneously4. By instilling lifelong learning in children teachers can ensure that students __________. A. share innovative ideas with the teachers in classB. understand the importance of schools and colleges C. respect their teachers for their roles in shaping their future D. build confidence to acquire skills and adapt to different challenges in life5. Which of these conveys the meaning of artistry as used in the above line? ...because that is where they exercise judgment and “artistry” the most freely and frequently. A. the ability to follow something exceptionally B. the ability to create something new and valuable C. the ability to appreciate something wholeheartedly D. the ability to criticise something in a constructive manner6. Which of these options supports the above statement? A teacher’s job — in fact a teacher’s privilege — is to help particular “young people” to realise their potential.  A. As a teacher you will have an advantage not shared by every member of society... B. Teaching will need you to know how to explain ideas clearly to present new materials in a sensible sequence...C. After teaching a particular learning objective several times you realise that you understand it differently... D. The job never stays the same; it evolves continually. 7. Which of these can be a suitable summary of the passage? A. The passage uses empty facts to glorify the teachers and their role in society. B. The passage introduces teachers to different ways of creating engaging activities.C. The passage describes the role of a teacher in developing the foundational skills of a child. D. The passage compares the role of teachers with those of other professions in nation-building.8. Select the option that correctly explains the relationship between (1) and (2).(1) Learners come from all walks of life and display great diversity in classrooms.(2) The role of a teacher is extremely challenging as it requires them to cater to the different needs of each child. A. (2) furthers the meaning of (1).B. (1) is the opposite of (2).C. (1) is the cause of (2). D. (2) negates (1).9. According to the details given in the passage select the option that highlights the MANDATORY qualities that a teacher must have. i) creative ii) quick-thinker iii) avid reader iv) emotionally maturev) believes in a strict routine vi) should be well-versed in various languages A. i) ii) and iv) B. i) iii) and v) C. ii) iv) and v) D. iv) v) and vi)10. Which of these is a VALID conclusion according to the given line?Something new and exciting is bound to occur just when you least expect it.  A. Teachers should surprise the students in the class.B. Teachers should share sensitive information in the class. C. Teachers should allow students to share new findings with everyone. D. Teachers should look out for different learning opportunities for themselves.

Accepted Answer

NA

Question 7

maids rushed in and out bringing his day bed his night bed favourite cushions toys and rubber rings breakfast bowl lunch bowl supper bowl. Mr Herriot gives the above description in the story A Triumph of Surgery to show how __________.A. spoilt and pampered Tricki was B. difficult it was to keep Tricki healthy C. privileged and rich Mrs Pumphrey was D. important Mrs Pumphrey was as a client

Accepted Answer

NA

Question 8

This festival is observed by the mother for the long life of her son(s).The festival falls on the 8th day from the day of the full moon in the month of Kartik. The festival is traditionally a North Indian Festival. Name the festival?

Accepted Answer

NA

Question 9

_______ was the worlds first female astronaut.A. Svetlana SavitskayaB. Valentina TereshkovaC. Sally RideD. Judith Resnik1. A2. B3. D4. C

Accepted Answer

NA

Question 10

Three solid cubes of sides 1 cm 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

Accepted Answer

NA

Question 11

The phrase describes a middle ground or a compromise between ones goals or desires and ones current state or possessions.

Accepted Answer

NA

Question 12

STATEMENT I The narrator feels sorry for M Hamel. STATEMENT II Franz could not accept the fact that he won‘t be learning French any longer. a) Statement I is true but Statement II is false. b) Statement I is false but Statement II is true. c) Both these statements can be inferred from the lesson. d) Neither of the statements can be inferred from the lesson.

Accepted Answer

NA

Question 13

Name the mother of Ravana?

Accepted Answer

NA

Question 14

ASSERTION (A) When it struck twelve M Hamel made a gesture with his hand to everyone that the school was dismissed. REASON (R) He was too emotional and upset over the Berlin order to speak anything. (a) Both A and R are true but R is not the correct explanation of A (b) Both A and R are true and R is the correct explanation of A(c) A is true but R is false (d) A is false but R is true

Accepted Answer

NA

Question 15

The dimensions of an open box are 50 cm 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms find the weight of the box.

Accepted Answer

NA

Question 16

i. Look at the statements given below. Choose the option that correctly identifies which statements are fact and which are opiniona) Fact – (i) and (iv) ; Opinion – (ii) and (iii) b) Fact – (ii) and (iii) ; Opinion – (i) and (iv) c) Fact – (i) and (ii) ; Opinion – (iii) and (iv) d) Fact – (ii) and (iv) ; Opinion – (i) and (iii)ii. “God Almighty! There’s far more going on than I —” “Always will be sir.” What can be collected from the aforesaid conversation between the Governor and Evans? a) The Governor realized that he was likely to lose his job very soon. b) Evans proved that criminals are always one step ahead of the police.c) There were always schemes afoot unknown to prison authorities. d) The Governor’s confidence in his control over the prison stood shattered. iii. A trope is a common device or theme used to describe situations or characters in a story. Given below are some typical tropes found in a prison escape narrative. Choose the option that is NOT a trope used in the story ‘Evans Tries an OLevel’? (i) Prison Changes People - Spending time in prison can change ones personality for better or for worse. (ii) Master of Disguise - When a character masquerades as someone else. (iii) Wardens Are Evil - The prison is run by a ruthlessly corrupt administrator. (iv) The Guards Must Be Crazy - Prison staff make it almost too easy for prisoners to escape. (v) Breaking Out the Boss - Members of a gang bust their boss out of jail. (vi) Passive Rescue - A character who rescues someone from prison without using aggression or violence to break them out. (vii) Prison Escape Artist - A character who is known for escaping prison multiple times. (Source www.tvtropes.org) a) Options (ii) (iii) and (vi) b) Options (i) (iii) and (v) c) Options (ii) (iv) and (v) d) Options (i) (iv) and (vi)

Accepted Answer

NA

Question 17

Look at the statements given below. Choose the option that correctly identifies which statements are fact and which are opinion (a) By sitting in the class the elders of Alsace showed their respect for M Hamel. (b) The elders were regretting that they did not learn their mother tongue. (c) The elders did not appreciate the faithful service of M Hamel and were only there to bid farewell to the teacher. (d) The teacher was sorrowful as he was to leave not only his students but also the school which he had nurtured. a) Fact (a) and (d); opinion (b) and (c) b) Fact (b) and (c); opinion (a) and (d) c) Fact (a) and (b); opinion (c) and (d) d) Fact (b) and (iv); opinion (a) and (c)

Accepted Answer

NA

Question 18

The diagonal of a cube is 6√3 cm. Find its volume and surface area.

Accepted Answer

NA

Question 19

The equation of the line which passes through the intersection of the lines x + 2y + 3 = 0 and 3x + 4y + 7 = 0 and is perpendicular the line x – y = 8 is(A)  x + 2y + 3 = 0(B)  x + y - 2 = 0(C)   x + y + 2 = 0(D)  3x + 3y - 4 = 0

Accepted Answer

NA

Question 20

If A is a non-singular matrix such that A-1 = (beginbmatrix5 & 3 -2 & -1endbmatrix) Then (AT) = _________. (a) (beginbmatrix5 & 3 2 & 1endbmatrix)(b) (beginbmatrix5 & 3 -2 & -1endbmatrix)(c) (beginbmatrix-1 & -3 2 & 5endbmatrix)(d) (beginbmatrix5 & -2 3 & -1endbmatrix)

Accepted Answer

NA

Question 21

If Δ ≠ 0 then the system is ________. (a) Consistent and has a unique solution (b) Consistent and has infinitely many solutions (c) Inconsistent (d) Either consistent or inconsistent

Accepted Answer

NA

Question 22

Let the function f(x) defined on f R - -1 1 → A and f(x) = x2(1 - x2). Find A such that f(x) is subjective.(1) R- [-10)(2) R -[-1 1)(3) R - [ -1 2)(4) R - [0 1)

Accepted Answer

NA

Question 23

The solution of the equation |z| – z = 1 + 2i is _______. (a) 32 – 2i (b) -32 + 2i (c) 2 – 32 i (d) 2 + 32 i

Accepted Answer

NA

Question 24

The value of  (sum_i = 1^13)(in + in - 1) is ________.(a) 1 + i (b) i (c) 1 (d) 0

Accepted Answer

NA

Question 25

The value of eiθ + e-iθ  is _________. (a) 2 cos θ (b) cos θ (c) 2 sin θ (d) sin θ

Accepted Answer

NA

Question 26

The polynomial x3 – kx2 + 9x has three real zeros if and only if k satisfies __________. (a) |k| ≤ 6 (b) k = 0 (c) |k| > 6 (d) |k| ≥ 6

Accepted Answer

NA

Question 27

Let z0 be a root of the quadratic equation x2 + x + 1 = 0. If z = 3 + 6i z081 – 3i z093 then arg z is equal to (1) π4(2) π6(3)  π3(4) 0

Accepted Answer

NA

Question 28

Let K be the set of all real values of x where the function f(x) = sin|x| – |x| + 2(x – π) cos|x| is not differentiable. Then the set K is equal to (1)  ϕ(an empty set)(2)  0 π(3)   π (4)   0

Accepted Answer

NA

Question 29

Pls provide the reason also

Accepted Answer

NA

Question 30

Solve x dydx + z = x x dzdx + y = 0.

Accepted Answer

NA

Question 31

A cyclist is going in a straight line at a unifrom velocity `18 kmh`. The resistance force can be expressed as force `kv^(2)` where `k=0.8` where velocity is in `ms` and unit of force is newton. The mass of the cyclist with the bicycle is `100 kg`. Neglect the rolling resistance force. If the power of the cyclist during the ride is `10^(x)` watt then what is `x` ?

Accepted Answer

NA

Question 32

When steady state is reached switch `S` is opened. Then the amount of heat rejected by the resistor is `800K` Joule. Then find the value of `K`.

Accepted Answer

NA

Question 33

In the region between the plane `z=0` and `z=a (a gt 0)` the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)` `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)(3)(qE_(0)a)(v_(0)^(2))`. When the particle just reverse its direction all the fields are switched off. Time taken by the particle to touch the plane `z=0` from that instant is A. `av_(0)`B. `a2v_(0)`C. `(a)(3v_(0))`D. `(a)(4v_(0))`

Accepted Answer

NA

Question 34

In the region between the plane `z=0` and `z=a (a gt 0)` the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)` `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)(3)(qE_(0)a)(v_(0)^(2))`. The minimum value of `b` such that the particle reverses its direction completely is A. `(4E_(0)a)(3v_(0)B_(0))`B. `a(1+(4E_(0))(3v_(0)B_(0)))`C. `(2E_(0)a)(3v_(0)B_(0))`D. `a(1+(2E_(0))(3v_(0)B_(0)))`

Accepted Answer

NA

Question 35

Smallest prime number is 2

Accepted Answer

NA

Question 36

In the region between the plane `z=0` and `z=a (a gt 0)` the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)` `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)(3)(qE_(0)a)(v_(0)^(2))`. The value of `E_(0)` such that the particle moves undeviated upto the plane `z=a` is A. `(v_(0)B_(0))(sqrt(2))`B. `v_(0)B_(0)`C. `v_(0)B_(0)sqrt(2)`D. `(v_(0)B_(0))(2)`

Accepted Answer

NA

Question 37

An electromagnetic wave going through vacuum is described by `vecE=E_(0)sin(kx-wt) and vecB=B_(0)sin(kx-wt)`. Which of the following equation is true?A. `E_(0)k=B_(0)omega`B. `E_(0)omega=B_(0)k`C. `E_(0)B_(0)=omega k`D. `E_(0)omegak=B_(0)`

Accepted Answer

NA

Question 38

In the circuit shown the potential difference between ( A ) and ( B ) is [Main 11 Jan. 2019 (II)](a) ( 1 V )(b) ( 2 V )(c) 3V(d) ( 6 V )

Accepted Answer

NA

Question 39

A coil with 1500 turns a radius of `5.0` cm and a resistance of `12 Omega` surrounds a solenoid with `240 turns cm` and a radius of 4 cm see figure. The current in the solenoid changes at a constant rate from 0 to 20 A in `0.10` s. Calculate the magnitude of the induced current (in mA) in the 1500 turn coil (`pi^(2)=10` Neglect self inductance of the coil).

Accepted Answer

NA

Question 40

Along the main optical axis of a converging lens with focal length F = 5 cm two fireflies are moving towards each other. They are on opposite sides of the lens. The speed of the fireflies is the same `V=2 cmsec` After what minimum time (in sec) does the first firefly meet the image of the second if at the initial time they were at distances 20 cm and 30 cm from the lens repectively? Round off to nearest integer.

Accepted Answer

NA

Question 41

The velocity time graph of a particle moving along a straight line is shown in the figure. In the time interval from `t=0` to `t=8` second answer the following three question.  The value of `(magnitude of maximum velocity)(magnitude of average velocity)` for the given time interval is A. `(8)(9)`B. `(8)(3)`C. `(16)(9)`D. `(16)(3)`

Accepted Answer

NA

Question 42

The positions of the object `O` (real or virtual) and the image `I`(real or virtual) with respect to the optical axis of a spherical mirror is shown. Then select the possible mirror and its position to realise it. .A. concave mirror closer to objectB. concave mirror closer to imageC. convex mirror closer to objectD. convex mirror closer to image

Accepted Answer

NA

Question 43

The velocity v of a particle at time t is given by `v=at+b(t+c)` where a b and c are constants. The dimensions of a b c are respectively -A. `LT^(-2)` L and TB. `L^(2)` T and `LT^(2)`C. `LT^(2)` LT and LD. L LT and `T^(2)`

Accepted Answer

NA

Question 44

If force acceleration and time are taken as fundamental quantities then the dimensions of length will beA. `FT^(2)`B. `F^(-1)A^(2)T^(-1)`C. `FA^(2)T`D. `AT^(2)`

Accepted Answer

NA

Question 45

A particle with mass m and initial speed `V_(0)` is a subject to a velocity-dependent damping force of the form `bV^(n)`.With dimensional analysis determine how the stopping time depends on m `V_(0)` and b for begin with writing `Deltat=Am^(alpha)b^(beta)V_(0)^(gamma)` powers `alpha beta` and `gamma` will be.A. `alpha=1 beta=-1 gamma=1-n`B. `alpha=2-n beta=-1 gamma=2`C. `alpha=1 beta=1 gamma=1-n`D. `alpha=-1 beta=-1 gamma=1-n`

Accepted Answer

NA

Question 46

Find the approximate values of (i) `sin 1^(@)` (ii) `tan 2^(@)` (iii) `cos 1^(@)`.

Accepted Answer

NA

Question 47

Find x y and perimater of the tringle

Accepted Answer

NA

Question 48

The subject which includes equations fractions addition and subtraction is ___

Accepted Answer

NA

Question 49

Addition-Plus Subtraction-______?

Accepted Answer

NA

Question 50

Integrate the following w.r.t. x. (i) `4x^(3)` (ii) `x-1x` (iii) `1(2x+3)` (iv) `cos (4x+3)` (v) `cos^(2) x`

Accepted Answer

NA

Explore topic-wise InterviewSolutions in .

How did the wizard manage to help the Skunk?

Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.

What was Roger Skunk’s problem?

This festival is observed by the mother for the long life of her son(s).The festival falls on the 8th day from the day of the full moon in the month of Kartik. The festival is traditionally a North Indian Festival. Name the festival?

_______ was the world's first female astronaut.A. Svetlana SavitskayaB. Valentina TereshkovaC. Sally RideD. Judith Resnik1. A2. B3. D4. C

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

The phrase describes a middle ground or a compromise between ones goals or desires and one's current state or possessions.

Name the mother of Ravana?

The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

The diagonal of a cube is 6√3 cm. Find its volume and surface area.

The equation of the line which passes through the intersection of the lines x + 2y + 3 = 0 and 3x + 4y + 7 = 0 and is perpendicular the line x – y = 8 is(A) x + 2y + 3 = 0(B) x + y - 2 = 0(C) x + y + 2 = 0(D) 3x + 3y - 4 = 0

If Δ ≠ 0 then the system is ________. (a) Consistent and has a unique solution (b) Consistent and has infinitely many solutions (c) Inconsistent (d) Either consistent or inconsistent

Let the function f(x) defined on f: R - {-1, 1} → A and f(x) = x2/(1 - x2). Find A such that f(x) is subjective.(1) R- [-1,0)(2) R -[-1, 1)(3) R - [ -1, 2)(4) R - [0, 1)

The solution of the equation |z| – z = 1 + 2i is _______. (a) 3/2 – 2i (b) -3/2 + 2i (c) 2 – 3/2 i (d) 2 + 3/2 i

The value of \(\sum_{i = 1}^{13}\)(in + in - 1) is ________.(a) 1 + i (b) i (c) 1 (d) 0

The value of eiθ + e-iθ is _________. (a) 2 cos θ (b) cos θ (c) 2 sin θ (d) sin θ

The polynomial x3 – kx2 + 9x has three real zeros if and only if, k satisfies __________. (a) |k| ≤ 6 (b) k = 0 (c) |k| > 6 (d) |k| ≥ 6

Let z0 be a root of the quadratic equation, x2 + x + 1 = 0. If z = 3 + 6i z081 – 3i z093, then arg z is equal to :(1) π/4(2) π/6(3) π/3(4) 0

Let K be the set of all real values of x where the function f(x) = sin|x| – |x| + 2(x – π) cos|x| is not differentiable. Then the set K is equal to :(1) ϕ(an empty set)(2) {0, π}(3) {π} (4) {0}

Pls provide the reason also

Solve: x dy/dx + z = x, x dz/dx + y = 0.

When steady state is reached, switch `S` is opened. Then the amount of heat rejected by the resistor is `800K` Joule. Then find the value of `K`.

Smallest prime number is 2

An electromagnetic wave going through vacuum is described by `vecE=E_(0)sin(kx-wt) and vecB=B_(0)sin(kx-wt)`. Which of the following equation is true?A. `E_(0)k=B_(0)omega`B. `E_(0)omega=B_(0)k`C. `E_(0)B_(0)=omega k`D. `E_(0)omegak=B_(0)`

In the circuit shown, the potential difference between \( A \) and \( B \) is :[Main 11 Jan. 2019 (II)](a) \( 1 V \)(b) \( 2 V \)(c) 3V(d) \( 6 V \)

The velocity v of a particle at time t is given by `v=at+b/(t+c)`, where a, b and c are constants. The dimensions of a, b, c are respectively :-A. `LT^(-2)`, L and TB. `L^(2)`, T and `LT^(2)`C. `LT^(2)`, LT and LD. L, LT and `T^(2)`

If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:A. `FT^(2)`B. `F^(-1)A^(2)T^(-1)`C. `FA^(2)T`D. `AT^(2)`

Find the approximate values of (i) `sin 1^(@)` (ii) `tan 2^(@)` (iii) `cos 1^(@)`.

Find x, y and perimater of the tringle

The subject which includes equations, fractions, addition and subtraction is ___

Addition-Plus, Subtraction-______?

Integrate the following w.r.t. x. (i) `4x^(3)` , (ii) `x-1/x` , (iii) `1/(2x+3)` , (iv) `cos (4x+3)` (v) `cos^(2) x`

17551.	How did the wizard manage to help the Skunk?
Answer» The wizard took out his magic wand and asked Roger Skunk what he wanted to smell like. When Roger said that he wanted to smell like roses, the wizard chanted some magic words and fulfilled Roger Skunk’s wish. He was happy that all the other little animals played with him, now that he did not smell bad.

17555.	What was Roger Skunk’s problem?
Answer» Because of Roger Skunk’s foul smell none of the other little creatures played with him. He used to face a lot of humiliations from other tiny animals. They used to call him “Roger Stinky Skunk” and they ran away from him. Roger was left alone every time.

17557.	maids rushed in and out bringing his day bed, his night bed, favourite cushions, toys and rubber rings, breakfast bowl, lunch bowl, supper bowl. Mr Herriot gives the above description in the story 'A Triumph of Surgery' to show how __________.A. spoilt and pampered Tricki was B. difficult it was to keep Tricki healthy C. privileged and rich Mrs Pumphrey was D. important Mrs Pumphrey was as a client
Answer» A. spoilt and pampered Tricki was

17558.	This festival is observed by the mother for the long life of her son(s).The festival falls on the 8th day from the day of the full moon in the month of Kartik. The festival is traditionally a North Indian Festival. Name the festival?
Answer» Correct answer is Ahoi

17561.	The phrase describes a middle ground or a compromise between ones goals or desires and one's current state or possessions.
Answer» Correct answer is TRISHANKU

17562.	STATEMENT I: The narrator feels sorry for M Hamel. STATEMENT II: Franz could not accept the fact that he won‘t be learning French any longer. a) Statement I is true but Statement II is false. b) Statement I is false but Statement II is true. c) Both these statements can be inferred from the lesson. d) Neither of the statements can be inferred from the lesson.
Answer» c) Both these statements can be inferred from the lesson.

17563.	Name the mother of Ravana?
Answer» Correct answer is KAIKESI

17564.	ASSERTION (A): When it struck twelve, M Hamel made a gesture with his hand to everyone that the school was dismissed. REASON (R): He was too emotional and upset over the Berlin order to speak anything. (a) Both, A and R, are true but R is not the correct explanation of A (b) Both, A and R, are true and R is the correct explanation of A(c) A is true but R is false (d) A is false but R is true
Answer» (b) Both, A and R, are true and R is the correct explanation of A

17567.	Look at the statements given below. Choose the option that correctly identifies which statements are fact and which are opinion: (a) By sitting in the class, the elders of Alsace showed their respect for M Hamel. (b) The elders were regretting that they did not learn their mother tongue. (c) The elders did not appreciate the faithful service of M Hamel and were only there to bid farewell to the teacher. (d) The teacher was sorrowful as he was to leave not only his students but also the school which he had nurtured. a) Fact (a) and (d); opinion (b) and (c) b) Fact (b) and (c); opinion (a) and (d) c) Fact (a) and (b); opinion (c) and (d) d) Fact (b) and (iv); opinion (a) and (c)
Answer» a) Fact (a) and (d); opinion (b) and (c)

17570.	If A is a non-singular matrix such that A-1 = \(\begin{bmatrix}5 & 3 \\-2 & -1\end{bmatrix}\), Then (AT) = _________. (a) \(\begin{bmatrix}5 & 3 \\2 & 1\end{bmatrix}\)(b) \(\begin{bmatrix}5 & 3 \\-2 & -1\end{bmatrix}\)(c) \(\begin{bmatrix}-1 & -3 \\2 & 5\end{bmatrix}\)(d) \(\begin{bmatrix}5 & -2 \\3 & -1\end{bmatrix}\)
Answer» (d) \(\begin{bmatrix}5 & -2 \\3 & -1\end{bmatrix}\)

17571.	If Δ ≠ 0 then the system is ________. (a) Consistent and has a unique solution (b) Consistent and has infinitely many solutions (c) Inconsistent (d) Either consistent or inconsistent
Answer» (a) Consistent and has unique solution

17573.	The solution of the equation \|z\| – z = 1 + 2i is _______. (a) 3/2 – 2i (b) -3/2 + 2i (c) 2 – 3/2 i (d) 2 + 3/2 i
Answer» The correct answer is : (a) 3/2 – 2i

17574.	The value of \(\sum_{i = 1}^{13}\)(in + in - 1) is ________.(a) 1 + i (b) i (c) 1 (d) 0
Answer» The correct answer is : (a) 1 + i

17575.	The value of eiθ + e-iθ is _________. (a) 2 cos θ (b) cos θ (c) 2 sin θ (d) sin θ
Answer» The correct answer is : (a) 2 cos θ

17576.	The polynomial x3 – kx2 + 9x has three real zeros if and only if, k satisfies __________. (a) \|k\| ≤ 6 (b) k = 0 (c) \|k\| > 6 (d) \|k\| ≥ 6
Answer» The correct answer is : (d) \|k\| ≥ 6

17581.	A cyclist is going in a straight line at a unifrom velocity `18 km//h`. The resistance force can be expressed as force `kv^(2)` where `k=0.8` where velocity is in `m//s` and unit of force is newton. The mass of the cyclist with the bicycle is `100 kg`. Neglect the rolling resistance force. If the power of the cyclist during the ride is `10^(x)` watt, then what is `x` ?
Answer» `P=kv^(2)(v)` `=kv^(3)=0.8xx(18xx(5)/(18))^(3)=100`watt

17582.	When steady state is reached, switch `S` is opened. Then the amount of heat rejected by the resistor is `800K` Joule. Then find the value of `K`.
Answer» There is no transfer of chage through the battery

17583.	In the region between the plane `z=0` and `z=a (a gt 0)`, the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)`, `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)/(3)(qE_(0)a)/(v_(0)^(2))`. When the particle just reverse its direction, all the fields are switched off. Time taken by the particle to touch the plane `z=0` from that instant is A. `a//v_(0)`B. `a//2v_(0)`C. `(a)/(3v_(0))`D. `(a)/(4v_(0))`
Answer» After the field are switched off, velocity remains constant

17584.	In the region between the plane `z=0` and `z=a (a gt 0)`, the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)`, `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)/(3)(qE_(0)a)/(v_(0)^(2))`. The minimum value of `b` such that the particle reverses its direction completely is A. `(4E_(0)a)/(3v_(0)B_(0))`B. `a(1+(4E_(0))/(3v_(0)B_(0)))`C. `(2E_(0)a)/(3v_(0)B_(0))`D. `a(1+(2E_(0))/(3v_(0)B_(0)))`
Answer» `(b-a)` is the radius of the circle

17586.	In the region between the plane `z=0` and `z=a (a gt 0)`, the uniform electric and magnetic fields are given by `vecE=E_(0)(hatk-hatj)`, `vecB=B_(0)hati`. The region defined by `a le z le b` contains only magnetic field `vecB= -B_(0)hati`. Beyond `z gt b` no field exits. A positive point charge `q` is projected from the origin with velocity `v_(0)hatk`. Assuming the mass of the particle to be `(2)/(3)(qE_(0)a)/(v_(0)^(2))`. The value of `E_(0)` such that the particle moves undeviated upto the plane `z=a` is A. `(v_(0)B_(0))/(sqrt(2))`B. `v_(0)B_(0)`C. `v_(0)B_(0)sqrt(2)`D. `(v_(0)B_(0))/(2)`
Answer» `qv_(0)B=qE_(0)rArrE_(0)=v_(0)B`

Explore topic-wise InterviewSolutions in .

How did the wizard manage to help the Skunk?

Two cubes have their volumes in the ratio 1 : 27. Find the ratio of their surface areas.

What was Roger Skunk’s problem?

This festival is observed by the mother for the long life of her son(s).The festival falls on the 8th day from the day of the full moon in the month of Kartik. The festival is traditionally a North Indian Festival. Name the festival?

_______ was the world's first female astronaut.A. Svetlana SavitskayaB. Valentina TereshkovaC. Sally RideD. Judith Resnik1. A2. B3. D4. C

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.

The phrase describes a middle ground or a compromise between ones goals or desires and one's current state or possessions.

Name the mother of Ravana?

The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

The diagonal of a cube is 6√3 cm. Find its volume and surface area.

The equation of the line which passes through the intersection of the lines x + 2y + 3 = 0 and 3x + 4y + 7 = 0 and is perpendicular the line x – y = 8 is(A) x + 2y + 3 = 0(B) x + y - 2 = 0(C) x + y + 2 = 0(D) 3x + 3y - 4 = 0

If Δ ≠ 0 then the system is ________. (a) Consistent and has a unique solution (b) Consistent and has infinitely many solutions (c) Inconsistent (d) Either consistent or inconsistent

Let the function f(x) defined on f: R - {-1, 1} → A and f(x) = x2/(1 - x2). Find A such that f(x) is subjective.(1) R- [-1,0)(2) R -[-1, 1)(3) R - [ -1, 2)(4) R - [0, 1)

The solution of the equation |z| – z = 1 + 2i is _______. (a) 3/2 – 2i (b) -3/2 + 2i (c) 2 – 3/2 i (d) 2 + 3/2 i

The value of \(\sum_{i = 1}^{13}\)(in + in - 1) is ________.(a) 1 + i (b) i (c) 1 (d) 0

The value of eiθ + e-iθ is _________. (a) 2 cos θ (b) cos θ (c) 2 sin θ (d) sin θ

The polynomial x3 – kx2 + 9x has three real zeros if and only if, k satisfies __________. (a) |k| ≤ 6 (b) k = 0 (c) |k| &gt; 6 (d) |k| ≥ 6

Let z0 be a root of the quadratic equation, x2 + x + 1 = 0. If z = 3 + 6i z081 – 3i z093, then arg z is equal to :(1) π/4(2) π/6(3) π/3(4) 0

Let K be the set of all real values of x where the function f(x) = sin|x| – |x| + 2(x – π) cos|x| is not differentiable. Then the set K is equal to :(1) ϕ(an empty set)(2) {0, π}(3) {π} (4) {0}

Pls provide the reason also

Solve: x dy/dx + z = x, x dz/dx + y = 0.

When steady state is reached, switch `S` is opened. Then the amount of heat rejected by the resistor is `800K` Joule. Then find the value of `K`.

Smallest prime number is 2

An electromagnetic wave going through vacuum is described by `vecE=E_(0)sin(kx-wt) and vecB=B_(0)sin(kx-wt)`. Which of the following equation is true?A. `E_(0)k=B_(0)omega`B. `E_(0)omega=B_(0)k`C. `E_(0)B_(0)=omega k`D. `E_(0)omegak=B_(0)`

In the circuit shown, the potential difference between \( A \) and \( B \) is :[Main 11 Jan. 2019 (II)](a) \( 1 V \)(b) \( 2 V \)(c) 3V(d) \( 6 V \)

The velocity v of a particle at time t is given by `v=at+b/(t+c)`, where a, b and c are constants. The dimensions of a, b, c are respectively :-A. `LT^(-2)`, L and TB. `L^(2)`, T and `LT^(2)`C. `LT^(2)`, LT and LD. L, LT and `T^(2)`

If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:A. `FT^(2)`B. `F^(-1)A^(2)T^(-1)`C. `FA^(2)T`D. `AT^(2)`

Find the approximate values of (i) `sin 1^(@)` (ii) `tan 2^(@)` (iii) `cos 1^(@)`.

Find x, y and perimater of the tringle

The subject which includes equations, fractions, addition and subtraction is ___

Addition-Plus, Subtraction-______?

Integrate the following w.r.t. x. (i) `4x^(3)` , (ii) `x-1/x` , (iii) `1/(2x+3)` , (iv) `cos (4x+3)` (v) `cos^(2) x`

The polynomial x3 – kx2 + 9x has three real zeros if and only if, k satisfies __________. (a) |k| ≤ 6 (b) k = 0 (c) |k| > 6 (d) |k| ≥ 6

17587.	An electromagnetic wave going through vacuum is described by `vecE=E_(0)sin(kx-wt) and vecB=B_(0)sin(kx-wt)`. Which of the following equation is true?A. `E_(0)k=B_(0)omega`B. `E_(0)omega=B_(0)k`C. `E_(0)B_(0)=omega k`D. `E_(0)omegak=B_(0)`
Answer» Correct Answer - A We know that `E_(0)=CB_(0)`, where C is velocity of light thus, `E_(0)=(omega)/(K)B_(0) because C=(omega)/(K)" or "E_(0)K=B_(0)omega`

17588.	In the circuit shown, the potential difference between \( A \) and \( B \) is :[Main 11 Jan. 2019 (II)](a) \( 1 V \)(b) \( 2 V \)(c) 3V(d) \( 6 V \)
Answer» Correct answer is (B) 2V

17589.	A coil with 1500 turns, a radius of `5.0` cm and a resistance of `12 Omega` surrounds a solenoid with `240 turns // cm` and a radius of 4 cm , see figure. The current in the solenoid changes at a constant rate from 0 to 20 A in `0.10` s. Calculate the magnitude of the induced current (in mA) in the 1500 turn coil (`pi^(2)=10` Neglect self inductance of the coil).
Answer» Correct Answer - `3840` `varepsilon=150xxd/dt(mu_(0)ni)xxpxx((4.5)/100)^(2)` `=150xx4pixx10^(-7)xx(230xx10^(2))/100xx2/0.1xxpixx(4.5xx4.5)/10^(4)` `i=varepsilon/12=(600pi^(2)xx460xx10^(3)xx10^(-7))/12xx(4.5)^(2)/10^(4)` `=0.04657500xx10^(-6)` `approx 5A`

17590.	Along the main optical axis of a converging lens with focal length F = 5 cm two fireflies are moving towards each other. They are on opposite sides of the lens. The speed of the fireflies is the same `V=2 cm//sec` After what minimum time (in sec) does the first firefly meet the image of the second, if at the initial time they were at distances 20 cm and 30 cm from the lens repectively? Round off to nearest integer.
Answer» Correct Answer - `0006` `u=-(30-2t)` `v=20-2t` `1/v-1/u=1/F` `1/(20-2t)+1/(30-2t)=1/5` `(50-4t)/(600+4t^(2)-100t)=1/5` `250-20=600+4t^(2)-100t` `4t^(2)-80t+350=0` `t=(40pmsqrt(1600-1400))/4= (40-14)/4=6.465 sec`

17591.	The velocity time graph of a particle moving along a straight line is shown in the figure. In the time interval from `t=0` to `t=8` second, answer the following three question. The value of `("magnitude of maximum velocity")/("magnitude of average velocity")` for the given time interval is :A. `(8)/(9)`B. `(8)/(3)`C. `(16)/(9)`D. `(16)/(3)`
Answer» Correct Answer - D Distance travelled `=(1)/(2)xx4 xx(2+4)(1)/(2)-xx 2 xx(2+4)=6m` magnitude of displacement `=(1)/(2)xx 4xx(2+4)(1)/(2)-xx 2xx(2+4)=6m` average speed `= (18)/(8)` `\|"average velocity"\| = (6)/(8)` `("maximum speed")/("average speed")=(4)/(18)xx8=(16)/(9)` And `(\|"maximum velocity"\|)/(\|"average velocity"\|)=(4)/(6) xx8 =(16)/(3)`.

17592.	The positions of the object `O` (real or virtual) and the image `I`(real or virtual) with respect to the optical axis of a spherical mirror is shown. Then select the possible mirror and its position to realise it. .A. concave mirror closer to objectB. concave mirror closer to imageC. convex mirror closer to objectD. convex mirror closer to image
Answer» Correct Answer - A::C A concave or convex mirror is to be placed left of the object. The object and the image both will be real for concave mirror and virtual for convex mirror.

17593.	The velocity v of a particle at time t is given by `v=at+b/(t+c)`, where a, b and c are constants. The dimensions of a, b, c are respectively :-A. `LT^(-2)`, L and TB. `L^(2)`, T and `LT^(2)`C. `LT^(2)`, LT and LD. L, LT and `T^(2)`
Answer» Correct Answer - A `[a]=[v/t]=(LT^(-1))/(T)=LT^(-2), [C]=[t]=T` `[b]=[vt]=LT^(-1)T=L`

17594.	If force, acceleration and time are taken as fundamental quantities, then the dimensions of length will be:A. `FT^(2)`B. `F^(-1)A^(2)T^(-1)`C. `FA^(2)T`D. `AT^(2)`
Answer» Correct Answer - D `F equiv MLT^(-2), A equiv LT^(-2) rArr L=AT^(2)`

17595.	A particle with mass m and initial speed `V_(0)` is a subject to a velocity-dependent damping force of the form `bV^(n)`.With dimensional analysis determine how the stopping time depends on m, `V_(0)` and b for begin with writing `Deltat=Am^(alpha)b^(beta)V_(0)^(gamma)`, powers `alpha, beta` and `gamma` will be.A. `alpha=1, beta=-1, gamma=1-n`B. `alpha=2-n, beta=-1, gamma=2`C. `alpha=1, beta=1, gamma=1-n`D. `alpha=-1, beta=-1, gamma=1-n`
Answer» Correct Answer - A `F=bv^(n)` `b=F/v^(n)=[(M^(1)L^(1)T^(-2))/((L^(1)T^(-1)))]^(beta)` `Deltat=A m^(alpha) b^(beta) v_(0)^(gamma)` `M^(0) L^(0)T^(1)=A M^(a+b)xxL^(beta-n)T^(-2beta+n)xxL^(gamma)T^(gamma)` By comparison of power of MLT `alpha+beta=0` `beta-n+gamma=0 rArr beta+gamma=n` `-2beta+n-gamma=1 rArr +2beta+gamma=n-1` `beta+n=n-1` `beta=-1` `alpha=1` `gamma=1+n`

17596.	Find the approximate values of (i) `sin 1^(@)` (ii) `tan 2^(@)` (iii) `cos 1^(@)`.
Answer» (i) `sin 1^(@)=sin(1^(@)xxpi/180^(@))=sin pi/180~~pi/180` (ii) `tan 2^(@)=tan(2^(@)xxpi/180^(@))=tan pi/90~~pi/90` (iii) `cos 1^(@)=cos(1^(@)xxpi/180^(@))=cos pi/180=1`