Explore topic-wise InterviewSolutions in Current Affairs.

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.

Answer» Applying `COE`
`i^(2)Rt=mgx`
`rArr (dx)/(dt)=(i^(2)R)/(mg)`
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).

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`
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.

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))`
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.

Answer»

takes, was, were.

5.

Would you go upstairs and ________ my handbag, please. A) take B) bring C) carry D) fetch E) obtain

Answer»

Correct option is D) fetch

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%

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%. 

7.

I am so ______. I want to sleep. A) asleep B) tired C) easy D) hard

Answer»

Correct option is B) tired

8.

We have to send the patients to hospital for ______. A) treatment B) nurse C) stomach-ache D) regular

Answer»

Correct option is A) treatment

9.

The doctor who does operations in the hospital is called ______. A) surgeon B) dentist C) nurse D) optician

Answer»

Correct option is A) surgeon

10.

Continue the logic list. Hospital, doctor, nurse, ______. A) vaccine B) cock C) cool D) officer

Answer»

Correct option is A) vaccine 

11.

Continue the logic list. North, south, west, ______. A) best B) rest C) east D) test

Answer»

Correct option is C) east

12.

Continue the logic list. Sweater, boots, T-shirt, ______. A) hair B) face C) jeans D) clothes

Answer»

Correct option is C) jeans

13.

______ is a very high hill. A) cliff B) rock C) plateau D) mountain

Answer»

Correct option is D) mountain

14.

I can see the sunshine behind the ______. A) picture B) wall C) sofa D) curtains

Answer»

Correct option is D) curtains

15.

The water is stored in ______ before it is supplied to people’s houses. A) reservoir B) sea C) lake D) river

Answer»

Correct option is A) reservoir

16.

______ is a large area of salty water. A) waterfall B) lake C) reservoir D) sea

Answer»

Correct option is D) sea

17.

We always ______ at the hotel when we go abroad. A) be B) leave C) stay D) go

Answer»

Correct option is C) stay

18.

Continue the logic list. Valley, forest, mountain, ______. A) lake B) picture C) weather D) man

Answer»

Correct option is A) lake

19.

______ is place where water flows down over a rock or from a high place. A) lake B) sea C) waterfall D) river

Answer»

Correct option is C) waterfall

20.

Bob passes over the ______ on his way to school. A) road B) bridge C) waterfallD) farm

Answer»

Correct option is B) bridge

21.

\( \int \frac{x^{3}}{\left(x^{2}+1\right)^{3}} d x \)

Answer»

\(\int \frac{x^3}{(x^2 + 1)^3 }dx = \int \frac{x^2.xdx}{(x^2 + 1)^3}\)

\(1 + x^2 = t\)

\(2xdx = dt\)

\(xdx = \frac{dr}2\)

\(\therefore \int \frac{x^3}{(x^2 + 1)^3}dx = \frac12 \int\frac{(t - 1)dt}{t^3}\)

\( = \frac12 \int (t^{-2} - t^{-3} )dt\)

\( =\frac12 \left(- \frac1t\ - \frac1{2t^2}\right)+ C\)

\(= - \frac14 \left(\frac{2t + 1}{t^2}\right)+ C\)

\(= - \frac14\left(\frac{2(1 + x^2)+1}{(1 +x^2)^2}\right)+ C\)   \((\because t = 1 + x^2)\)

\(= -\frac{2x^2 + 3}{4(1 + x^2)^2} + C\).

22.

Evaluate : \( \int \frac{1-x^{2}}{x-2 x^{2}} d x \)

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 \(I= \frac {x}{2} + log(x) - \frac {3}{4} log(1-2x) + c\)

23.

Does the principle of conservation of energy hold for interference and diffraction phenomena? Explain briefly.

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.

24.

Equation which measures alternating voltage is A. Vsin ω B. sin t C. Vo sinωt D. V=IR

Answer»

The Correct option is C. Vo sinωt

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

Answer»

A. lesser than static friction

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)

Answer»

D. final velocity = initial velocity + (2 × acceleration × distance moved)

27.

Ratio of voltages is inverse ratio of the A. transformer B. resistor C. iron core D. current

Answer»

The Correct option is D. current.

28.

Steady d.c voltage is also known as A. square velocity B. root mean square velocity C. root velocity D. velocity

Answer»

B. root mean square velocity

29.

If output voltage is greater than input voltage, then transformer is A. step up B. step down C. faulty D. fatal 

Answer»

The Correct option is A. step up

30.

In transformer, alternating current is induced in A. primary coil B. secondary coil C. iron core D. resistor

Answer»

B. secondary coil

31.

Graph of alternating current is a A. cos wave B. tan wave C. curve D. sine wave

Answer»

D. sine wave

32.

High voltages lead to A. less power loss B. more power loss C. high current D. high resistance

Answer»

A. less power loss

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

Answer»

C. number of turns in coil

34.

Process in which A.C is converted into D.C is calledA. inductionB. rectification C. inversion D. dispersion

Answer»

B. rectification

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

Answer»

B. Centripetal force

36.

If charge is placed at infinity, it's potential is A. zero B. infinite C. 1 D. -1

Answer»

The Correct option is A. zero

37.

Speed of stationary waves is A. 1 m s-1 B. 2 m s-1 C. 3 m s-1 D. zero 

Answer»

The Correct option is D. zero

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

Answer»

The Correct option is A. v = fλ

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

Answer»

B. in phase.

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

Answer»

The Correct option is C. Mercury.

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

Answer»

A. fundamental mode

42.

Gravitational potential is always A. positive B. negative C. zero D. infinity

Answer»

B. negative.

43.

A node having twice the frequency of the fundamental is called A. half harmonic B. harmonic C. double harmonic D. triple harmonic

Answer»

B. harmonic.

44.

In an electric field, energy per unit positive charge is A. voltage B. current C. frequencyD. resistance

Answer»

The Correct option is A. voltage.

45.

In Kundt's dust tube, dust accumulates at A. nodes B. antinodes C. at the end D. at troughs only

Answer»

The Correct option is A. nodes

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

Answer»

C. Volume of the rotating object

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

Answer»

A. direction as well as magnitude

48.

Graph of potential energy against distance is A. curve B. parabolic C. hyperbolic D. straight line

Answer»

D. straight line

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

Answer»

D. Directly proportional to the product of their masses and inversely proportional to the square of their distance apart

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

Answer»

The Correct option is C. Isobars