This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A resistance coil, connected to an external battery is placed inside an adiabatic cylinder filled with frictionless piston of mass `m` and containing an ideal gas. A current `i` flows through the coil, which has resistance `R`. The speed with which the piston must move in order to keep the temperature of the gas constant will be A. `i^(2)R//mg`B. `iR//mg`C. `0`D. Data is insufficient. |
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Answer» Applying `COE` `i^(2)Rt=mgx` `rArr (dx)/(dt)=(i^(2)R)/(mg)` |
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| 2. |
One mole of an ideal gas `(y=1.4)` at `500K`, is filled in an adiabatic cylinder. The piston is free to move against atmospheric pressure. A non-conducting fan is inserted into the gas space and rotated vigrously, so that the gas expands slowly, till its volume is double. Find work done by the fan in `KJ`. (Take `R=8 j//`mole. `k,` neglect heat capacity of the cylinder, piston and the fan). |
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Answer» Using `1st` law of `TD` `Q=W+Uuparrow` `0=((-W_(tan))+PDeltav)+n(f)/(2)RDeltaT` `W_(tan)=nRDeltaT+n(f)/(2)RDeltaT` `W_(tan)=nC_(P)DeltaT` `W_(tan)=(1)(R+(f)/(2)R)(k)` (as the gas is expending slowly so `p=` constant, so `Tpropv`) `W_(tan)=14 kj` |
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| 3. |
Two large non conducting plates having surface charge densities `+sigma` and `-sigma` respectively, are fixed `d` distnce apart. A small test charge `q` of mass `m` is attached to two non conducting springs each of spring constant `k` as shown in the figure. The sum of lengths of both springs in underformed state is `d`. The charge `q` is released from rest with both the springs nondeformed. then charge `q` will (neglect gravity) A. performs `SHM` with angular frequency `sqrt((2k)/(m))` and amplitude `(sigmaq)/(kepsilon_(0))`.B. perform `SHM` with angular freqeuncy `sqrt((2k)/(m))` and amplitude `(eq)/(2kepsilon_(0))`C. not perform `SHM`, but will execute periodic motion.D. remain stationary. |
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Answer» The electrostatic force on charge is constant, hence it does not effect the time period of spring `+` particle system. `therefore omega=sqrt((2K)/(m))` Initially the charge is at rest, i.e. at extreme position. The equilibrium position, shall be at a distance `A` towards right, where `A` (by definition) is amplitude of vibration. `therefore 2kA=(sigma)/(epsilon_(0))` or `A=(sigmaq)/(2kepsilon_(0))` |
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| 4. |
Choose the correct form of the verb that agrees with the subject:The nurse ...... (take/takes) the narrator through the vestibule into the hospital. The hospital ..... (was/were) a villa. The floors ...... (was/were) waxed and polished. |
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Answer» takes, was, were. |
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| 5. |
Would you go upstairs and ________ my handbag, please. A) take B) bring C) carry D) fetch E) obtain |
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Answer» Correct option is D) fetch |
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| 6. |
The marked price of a tunic and jeans are in a ratio of 1 : 2. The shopkeeper gives a 40% discount on the tunic. If the total discount on both is 30%, the discount offered on the jeans is?1. 35%2. 30%3. 20%4. 25% |
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Answer» Correct Answer - Option 4 : 25% Given: Marked price of tunic and jeans = 1 : 2 Discount on tunic = 40% Total discount = 30% Concept used: S.P = M.P × (100 – D%)/100 Calculations: Let the Marked Price of tunic be x Let the Marked Price of jeans be 2x. Let the discount on jeans be y% According to the question ⇒ (60/100) × x + ((100 – y)/100) × 2x = (70/100) × (x + 2x) ⇒ (3x/5) + (100 – y)x/50 = 21x/10 ⇒ (100 – y)x/50 = 3x/2 ⇒ (100 – y) = 75 ⇒ y = 100 – 75 ⇒ y = 25% ∴ The discount on jeans is 25%. |
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| 7. |
I am so ______. I want to sleep. A) asleep B) tired C) easy D) hard |
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Answer» Correct option is B) tired |
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| 8. |
We have to send the patients to hospital for ______. A) treatment B) nurse C) stomach-ache D) regular |
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Answer» Correct option is A) treatment |
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| 9. |
The doctor who does operations in the hospital is called ______. A) surgeon B) dentist C) nurse D) optician |
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Answer» Correct option is A) surgeon |
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| 10. |
Continue the logic list. Hospital, doctor, nurse, ______. A) vaccine B) cock C) cool D) officer |
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Answer» Correct option is A) vaccine |
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| 11. |
Continue the logic list. North, south, west, ______. A) best B) rest C) east D) test |
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Answer» Correct option is C) east |
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| 12. |
Continue the logic list. Sweater, boots, T-shirt, ______. A) hair B) face C) jeans D) clothes |
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Answer» Correct option is C) jeans |
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| 13. |
______ is a very high hill. A) cliff B) rock C) plateau D) mountain |
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Answer» Correct option is D) mountain |
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| 14. |
I can see the sunshine behind the ______. A) picture B) wall C) sofa D) curtains |
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Answer» Correct option is D) curtains |
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| 15. |
The water is stored in ______ before it is supplied to people’s houses. A) reservoir B) sea C) lake D) river |
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Answer» Correct option is A) reservoir |
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| 16. |
______ is a large area of salty water. A) waterfall B) lake C) reservoir D) sea |
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Answer» Correct option is D) sea |
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| 17. |
We always ______ at the hotel when we go abroad. A) be B) leave C) stay D) go |
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Answer» Correct option is C) stay |
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| 18. |
Continue the logic list. Valley, forest, mountain, ______. A) lake B) picture C) weather D) man |
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Answer» Correct option is A) lake |
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| 19. |
______ is place where water flows down over a rock or from a high place. A) lake B) sea C) waterfall D) river |
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Answer» Correct option is C) waterfall |
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| 20. |
Bob passes over the ______ on his way to school. A) road B) bridge C) waterfallD) farm |
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Answer» Correct option is B) bridge |
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| 21. |
\( \int \frac{x^{3}}{\left(x^{2}+1\right)^{3}} d x \) |
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Answer» \(\int \frac{x^3}{(x^2 + 1)^3 }dx = \int \frac{x^2.xdx}{(x^2 + 1)^3}\) \(1 + x^2 = t\) \(2xdx = dt\) \(xdx = \frac{dr}2\) \(\therefore \int \frac{x^3}{(x^2 + 1)^3}dx = \frac12 \int\frac{(t - 1)dt}{t^3}\) \( = \frac12 \int (t^{-2} - t^{-3} )dt\) \( =\frac12 \left(- \frac1t\ - \frac1{2t^2}\right)+ C\) \(= - \frac14 \left(\frac{2t + 1}{t^2}\right)+ C\) \(= - \frac14\left(\frac{2(1 + x^2)+1}{(1 +x^2)^2}\right)+ C\) \((\because t = 1 + x^2)\) \(= -\frac{2x^2 + 3}{4(1 + x^2)^2} + C\). |
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| 22. |
Evaluate : \( \int \frac{1-x^{2}}{x-2 x^{2}} d x \) |
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Answer» Let I be the given integral \(I=\int \frac {1-x^2}{x-2x^2} dx \) \(I=\int \frac {1-x^2}{x(1-2x)} dx\) This can be further solved by the method of partial fractions Let \(\frac{1-x^2}{x(1-2x)}\) be of the form \(\frac{A}{x} + \frac{Bx+C}{1-2x}\) where A,B and C are integers By taking the LCM and by comparing both the sides, we get A=1, B=-1,C=2 Now, the given integral is simplified and is written as, \(I=\int \frac{1}{x} dx + \int \frac {-x+2}{1-2x} dx\) \(I=log(x) + \int \frac{-x+2}{1-2x} dx\) The second integral should be written in the form n(Denominator) + m, where m and n are real numbers \(\therefore I=log(x) + 1/2 \int \frac {-2x+1+3}{-2x+1} dx\) \(I=log(x) +\int \frac {dx}{2} + \int \frac {3}{2(-2x+1)} dx\) \(I= log(x) + \frac {x}{2} - \frac{3}{4} log(1-2x) + c\) Hence the value of the given integral is \(I= \frac {x}{2} + log(x) - \frac {3}{4} log(1-2x) + c\) |
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| 23. |
Does the principle of conservation of energy hold for interference and diffraction phenomena? Explain briefly. |
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Answer» Yes law of conservation of energy is obeyed. In case of constructive interference, intensity becomes maximum and bright fringes are formed in the screen whereas in case of destructive interference, intensity being minimum, dark fringes are formed. This implies that in interference and diffraction pattern, the intensity of light is simply being redistributed i.e. energy is only transferred from dark to bright fringe and no energy is created or destroyed in the process. |
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| 24. |
Equation which measures alternating voltage is A. Vsin ω B. sin t C. Vo sinωt D. V=IR |
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Answer» The Correct option is C. Vo sinωt |
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| 25. |
Kinetic friction is always A. lesser than static friction B. greater than static friction C. equal to static friction D. equal to contact force |
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Answer» A. lesser than static friction |
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| 26. |
There are three equations of uniformly accelerated motion, the odd one out is A. final velocity = initial velocity + (acceleration × time) B. distance moved = (initial velocity × time) + (0.5 × acceleration × time2) C. final velocity2 = initial velocity2 + (2 × acceleration × distance moved) D. final velocity = initial velocity + (2 × acceleration × distance moved) |
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Answer» D. final velocity = initial velocity + (2 × acceleration × distance moved) |
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| 27. |
Ratio of voltages is inverse ratio of the A. transformer B. resistor C. iron core D. current |
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Answer» The Correct option is D. current. |
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| 28. |
Steady d.c voltage is also known as A. square velocity B. root mean square velocity C. root velocity D. velocity |
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Answer» B. root mean square velocity |
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| 29. |
If output voltage is greater than input voltage, then transformer is A. step up B. step down C. faulty D. fatal |
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Answer» The Correct option is A. step up |
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| 30. |
In transformer, alternating current is induced in A. primary coil B. secondary coil C. iron core D. resistor |
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Answer» B. secondary coil |
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| 31. |
Graph of alternating current is a A. cos wave B. tan wave C. curve D. sine wave |
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Answer» D. sine wave |
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| 32. |
High voltages lead to A. less power loss B. more power loss C. high current D. high resistance |
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Answer» A. less power loss |
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| 33. |
Ratio of voltages is equal to ratio of A. iron sheets in core B. coil C. number of turns in coil D. all of above |
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Answer» C. number of turns in coil |
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| 34. |
Process in which A.C is converted into D.C is calledA. inductionB. rectification C. inversion D. dispersion |
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Answer» B. rectification |
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| 35. |
In order to keep a body moving in a circle, there exists a force on it that is directed toward the center of the circle. This force is known as A. Centrifugal force B. Centripetal force C. Gravitational Force D. magnetic force |
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Answer» B. Centripetal force |
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| 36. |
If charge is placed at infinity, it's potential is A. zero B. infinite C. 1 D. -1 |
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Answer» The Correct option is A. zero |
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| 37. |
Speed of stationary waves is A. 1 m s-1 B. 2 m s-1 C. 3 m s-1 D. zero |
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Answer» The Correct option is D. zero |
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| 38. |
If frequency of certain wave is f, then it's velocity is A. v = fλ B. v = T⁄λ C. T2 D. 1 ⁄T2 |
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Answer» The Correct option is A. v = fλ |
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| 39. |
In the formation of stationary waves, at T⁄2 the waves are A. out of phase B. in phase C. diminished D. twice the amplitude |
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Answer» B. in phase. |
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| 40. |
On all instruments like measuring cylinder, pipette and burette, readings are always taken at the bottom of the meniscus of liquid. This is not true for liquids like A. Oil B. Ink C. Mercury D. Seawater |
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Answer» The Correct option is C. Mercury. |
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| 41. |
For a given system, the minimum frequency of a standing wave is in a A. fundamental mode B. lowest mode C. highest mode D. peak mode |
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Answer» A. fundamental mode |
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| 42. |
Gravitational potential is always A. positive B. negative C. zero D. infinity |
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Answer» B. negative. |
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| 43. |
A node having twice the frequency of the fundamental is called A. half harmonic B. harmonic C. double harmonic D. triple harmonic |
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Answer» B. harmonic. |
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| 44. |
In an electric field, energy per unit positive charge is A. voltage B. current C. frequencyD. resistance |
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Answer» The Correct option is A. voltage. |
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| 45. |
In Kundt's dust tube, dust accumulates at A. nodes B. antinodes C. at the end D. at troughs only |
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Answer» The Correct option is A. nodes |
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| 46. |
Centripetal force is dependent on three factors, the odd one out of these factors is A. Mass of the rotating object B. Speed of the rotating object C. Volume of the rotating object D. Path radius |
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Answer» C. Volume of the rotating object |
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| 47. |
A vector quantity is one which has A. direction as well as magnitude B. magnitude only C. direction only D. no direction, no magnitude |
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Answer» A. direction as well as magnitude |
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| 48. |
Graph of potential energy against distance is A. curve B. parabolic C. hyperbolic D. straight line |
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Answer» D. straight line |
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| 49. |
According to Newton's law of universal gravitation, any two particles of finite mass attract one another with a force which is A. Inversely proportional to the product of their masses and directly proportional to the square of their distance apart B. Inversely proportional to the product of their masses and directly proportional to their distance apart C. Directly proportional to the product of their masses and inversely proportional to their distance apart D. Directly proportional to the product of their masses and inversely proportional to the square of their distance apart |
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Answer» D. Directly proportional to the product of their masses and inversely proportional to the square of their distance apart |
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| 50. |
In a weather map, lines joining all those regions with same atmospheric pressure are called A. Bars B. Millibars C. Isobars D. Atmospheric bars |
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Answer» The Correct option is C. Isobars |
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