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 body of mass 5kg starts from origin with a velocity baru = (30hati +40hatj)ms^(-1) . If a constant force F=-(hati+5hatj)Nacts on the body, then pick up the correct statements

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y - component of the velocity becomes zero at t = 40 second 
 X- component of the velocity becomes zero at t = 180 second 
 body will NEVER attain permanent rest 
 the direction of motion CHANGES only once along x and y- directions

Answer :A::B::C::D
2.

Temperature of substances A and B are 727^(@)C and 327^(@)C respectively, then ratio of rate of their radiant energy H_(A):H_(B)=. . . . .

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`727:327`
`5:3`
`25:9`
`625:81`

Solution :`T_(A)=273+727=1000K`
`T_(B)=273+327=600K`
Rate of RADIANT energy
`HpropT^(4)`
`:.(H_(A))/(H_(B))=(T_(A)^(4))/(T_(B)^(4))`
`=((1000)^(4))/((600)^(4))`
`=((10)/(6))^(4)`
`=((5)/(3))^(2)`
`=(625)/(81)`
`:.H_(A):H_(B)=625:81`
3.

Consider twoo concentric sphere of radius R_(1) at temperature T_(1) and radius R_(2) at temperature T_(2). A material of thermal capacity conductivity K is filled in the space between shells. What is the distance from the centre of the system of shells, where the temperature is mean of T_(1) and T_(2). (T_(1)gtT_(2)) q is the heat transferred per second

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`(R_(2)Q)/(q+2pi R_(1)K(T_(2)-T_(1)))`
`((R_(2)-R_(1))q)/(q+2piR_(2)K(T_(2)-T_(1)))`
`(R_(1)q)/(q+4piR_(1)K(T_(2)-T_(1)))`
`(R_(1)q)/(q+2piR_(1)K(T_(2)-T_(1)))`

Answer :D
4.

A mass attached to a spring is free to oscillate, with angular velocity omega in a horizontal plane without friction or damping. It is pulled to a distance x_0 and pushed towards the centre with a velocity v_0 at time t=0. Determine the amplitude of the resulting oscillations in terms of the parameters omega, x_0 and v_0

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Solution :x= A `cos (OMEGA x + theta) `, velocity , `(DX)/(dt) =- A omega sin(OMEGAT + theta)`
When t=0 , `x=x_0 and (dx)/(dt) = -v_0`
`THEREFORE x_0 = A cos theta ""……..(i)`
`-v_0 = - A omega theta ` (or) ` A sin theta = v_0//omega ""......(ii)`
Squaring and adding (i) and (ii) , we get , `A^2 (sin^2 theta + cos^2 theta) = (v_0^2 //omega^2) + x_0^2 , A= [v_0^2 .//omega^2 + x_0^2J^(1//2)]`
5.

Moment of inertia of a uniform rod of length L and mass M , about an axis pasing through L/4 from one end and perpendicular to its length is

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`(7)/(36) ML^2`
`(7)/(48) ML^2`
`(11)/(48) ML^2`
`(ML^2)/(12)`

Solution :APPLYING theorem of PARALLEL AXES ,
`I = I_(0) + M((L)/(4))^(2) = (ML^2)/(12) + (ML^2)/(16) = (7)/(48) ML^2`
6.

In a resonance tube, the first resonance is obtained at 40 cm length, using a tuning fork of frequency 450 Hz. Ignoring end correction, the velocity of sound in air is

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620 m/s
720 m/s
820 m/s
1020 m/s

SOLUTION :`(lambda)/(4) = 40` CM = 0.4 `implies therefore lambda = 4 xx 0.4 = 1.6 m , f = 450` Hz
Velocity of sound `V = f lambda = 450 xx 1.6 = 720` m/s
7.

In the question number 56, the maximum horizontal distance covered by the ball will be

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`160sqrt(3)`m
`140sqrt(3)` m
`120sqrt(3)` m
`100sqrt(3)` m

Solution :Horizontal range, `R = (U^(2)sin2theta)/(G)`
`R = ((56)^(2) SIN60^(@))/(9.8) = (56 xx 56 xxsqrt(3))/(9.8 xx 2) = 160sqrt(3)m`
8.

A satellite is orbiting at a certain height in a circular orbit. If the mass of the planet is reduced to half the initial value, then the satellite would

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FALL on the planet
go to the ORBIT of SMALLER radius
go to the orbit of LARGER radius
escapes from the planet

Answer :D
9.

A metallic sphere is heated from 225 K to 325 K. On heating, the volume increases by 2% of original value. Find the coefficients of linear, superficial and cubical expansion of metal.

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SOLUTION :`2.09 XX 10^(-4) K^(-1) , 4.18 xx 10^(-4) K^(-1) , 6.27 xx 10^(-4) K^(-1)`
10.

A person measured the time period of a simple pendulum inside a stationary lift and finds it to be .T.. If the lift starts accelerating down wards with an acceleration g/3, the time period of the pendulum will be

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`SQRT(3)T`
`sqrt((3)/(2))T`
`(T)/(sqrt(3))`
`T"/"3`

ANSWER :B
11.

A drop of liquid having radius 2mm has a terminal velocity 20"cms"^(-1), the terminal velocity of a drop 1 mm radius will be

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`40 "cms"^(-1)`
`20 "cms"^(-1)`
`10 "cms"^(-1)`
`5 "cms"^(-1)`

ANSWER :D
12.

Same force acts on two bodies of masses m, and m_(2)(m_(2) gt m_(1)) After travelling the same distance

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Kinetic ENERGY of `m_(2)` is GREATER than kinetic energy of `m_(1)`
Kinetic energy of `m_(1)` is greater than kinetic energy of `m_(2)`
RATIO of kinetic ENERGIES of those two is equal to ratio of their momentum
Kinetic energy of `m_(1)` is equal to kinetic energy of `m_(2)`

Answer :D
13.

Tube A has both ends open, while B has on end closed otherwise the two tubes are identical. What is the ratio of fundamental frequency of the tubes A and B ?

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SOLUTION :Thefundamental frequency for tube A with both ends open is `f_A = V/(2L)`
The fundamental frequency for tube B with ONE end closed is `f_B = v/(4L)`
`f_A/f_B = (v//2L)/(v//4L) =2 RARR f_A : f_B = 2 : 1`
14.

Briefly explain centrifugal force with suitable examples

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Solution :Centrifugalforce : It is a pseudoforce . Ituniformcircularmotiondue toacceleratedframeof referencewhichis ALONGTHE radiusand directedaway from THECENTRE .
EG1 :Whena car takesa turnin a curvedroadpersoninsidethe car feelsan outwardforcewhichpushes the personaway.
EG2 :A personstandingon arotatingplatformfeelsan outwardcentifugalforceand islikelyto bepushedawayfrom the PLATFORM. to avoidthisusuallythe outeredgeof theplatformislittleinclined upwardswhich exertsa normalforceon thepersonthatpreventstheperson from falling.
15.

During blood transfusion the needleis inserted in a vein where the gauge pressure is 2000 Pa . At what height must the blood container be placed so that blood may just enter the vein ? [Use the density of whole blood from Table 10.1]

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Solution :Here gauge PRESSURE `P=2000Pa`
Density of BLOOD `rho=1.06xx10^(3)kgm^(-3)`
`g=9.8ms^(-2)`
The HEIGHT of vein of blood container =h Gauge pressure
`P=grhog`
`h=(P)/(rhog)`
`=(2000)/(1.06xx10^(3)xx9.8)`
`=192.5xx10^(-3)`
`=0.192m`
`thereforeh=2.0m`
16.

The M.I. of a thin rod about a normal axis through its centre is I. It is bent at the centre such that, the two parts are perpen-dicular to each other and perpendicular to the axis. The M.I. of the system about the same axis will be

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2I
I
I/2
4I

Answer :B
17.

The Young's modulus of steal is 210 GPa. Its poissions ratio is 0.3. Then its rigidity modulus is

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8.8GPa
80.8GPa
19.6GPa
6.6GPa

Answer :2
18.

The rotational analogue of force is

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energy
work
inertia
torque

Answer :D
19.

Two droplets each radius r of mercury mergeand form a bigger drop . If surface tension of mercury is T.Then what will be the surface energy ?

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`2^((5)/(3))pir^(2)T`
`4pir^(2)T`
`2pir^(2)T`
`2^((8)/(3)pir^(2))T`

Solution :Radius of small droplet is R and volume is `V_(1)` when TWO droplets are merged and form a bigger drop having radius R and volume is `V_(2)`
`thereforeV_(2)=V_(1)xx2`
`(4)/(3)piR^(3)=2XX(4)/(3)pir^(3)`
`R^(3)=2r^(3)`
`R=2^((1)/(3))xxr`...(1)
Now , surface enerfy of bigger drop,
`E=4piR^(2)T=4pi(2^((2)/(3))*r^(2))T=pixx2^(2)xx2^((2)/(3))xxr^(2)T`
`=pixx2^(2+(2)/(3))xxr^(2)T`
`thereforeE=2^((8)/(3))pir^(2)T`
20.

The amount of work done in pumping water out of a cubical vessel of height 1 m is nearly

Answer»

5000 J 
10000 J 
50 J
10 J 

Solution :`W = 1 m xx 1 m xx 1m xx 1000 kg m^(-3) xx 10 ms^(-2) xx 1/2 m`
`=5000 J`
21.

Which unit can be used for measurement of very small masses ?

Answer»

1 atomic MASSS unit (a.m.u) `= 1.66xx10^(-27)KG.`
1 atomic masss unit (a.m.u) `= 1.66xx10^(27)kg.`
1 atomic mass unit (a.m.u) `= 1.66xx10^(28)kg.`
1 atomic mass unit (a.m.u) `= 1.7xx10^(26)kg.`

Answer :B
22.

A person walking in a straight line, covers half of the distance to be travelled with a speed of v_(0). For half of the time, required to complete the remaining distance, he walks with a speed of v_(1)and for the remaining half time his speed is v_(2)What is the person's average speed during this complete walk ?

Answer»

Solution :SUPPOSE, the total walking DISTANCE is d, time taken to travel half of the distance `((d)/(2))` is `t _(1)` and time taken to travel remaining half distance is 2t. Now, distance TRAVELLED = average speed `xx` time
`therefore d/2 = v _(0) t _(1)` and HENCE `t _(1) = (d)/(2v _(0)) ""...(1)`
and `d/2 = v _(1) t + v _(2)t` (for remaining half distance)
`= (v_(1) +v_(2))t `
`therefore 2t = (d)/(v _(1) + v _(2))`
`(because t = 2t` for that half distance) ...(ii)
Thus, tota time taken to walk total distance d is `t +2t.`
Now the person.s average speed
`lt v GT = (d)/(t _(1) + 2t)`
`= (d)/(((d)/(2 v _(0))) +((d)/( v _(1) + v _(2))))` (From eq. (i) & (ii))
`therefore lt v gt = (2 v _(0) (v _(1) + v _(2)))/( v _(1) + v _(2) + 2v _(0))`
23.

A real gas behaves as an ideal gas at

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HIGH TEMPERATURE and high PRESSURE
high temperature and LOW pressure
low temperature and low pressure
low temperature and high pressure

Answer :A::D
24.

A disc of mass 'm' and radius R has a concentration hole of radius 'r'. Its M.I. about an axis through centre and normal to plane is

Answer»

`m/2(R-r)^(2)`
`m/2(R^(2)-r^(2))`
`m/2(R+r)^(2)`
`m/2(R^(2)+r^(2))`

ANSWER :D
25.

A thread is tied slightly loose to a wire frame as in figure and the frame is dropped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread

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BECOMES CONCAVE towards A
Becomes convex towards A
Either (a) and (b) DEPENDING on the size of A with respect to B
Remains in the INITIAL position

Answer :A
26.

A force of 98 N is just required to move a mass of 45 kg on a rough horizontal surface. Find the coefficient of friction and angle of friction?

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SOLUTION : `F= 48 N, R = 45 xx 9.8 = 441 N`
` mu = (F.)/(R ) = 0.22`
ANGLE of friction ` theta = TAN^(-1) mu= tan^(-1) 0.22 =12^@ 24.`
27.

A girl is swinging in the sitting position.How will the period of the swing change if she stands up?

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Solution :The girl and the swing together constitute a PENDULUM of TIME period `T=2pisqrti/g`. As the girl stands up,her CENTRE of gravity is raised.The DISTANCE between the point of suspension and the centre of gravity decreases.i.e. lenght I decresese.Hence the time period T decreases.
28.

An object moving along a straight line covers equal distances in equal intervals of time, it is said to be in uniform motion along a straight line.(c) Which of the folloming statements is/ are true?

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An object-with CONSTANT VELOCITY has always INSTANT speed.
An object with constant speed has always constant velocity.
An object with zero velocity has always zero ACCELERATION
An object with zero acceleration has always zero velocity.

Answer :A::B::C::D
29.

The value of coefficient of volume expansion of glycerin is 5 xx 10^(-4) K^(-1). The fractional change in the density of glycerin for a rise of 40^@ C in its temperature is _____

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`0.010`
`0.015`
`0.020`
`0.025`

Solution :SUPPOSE final DENSITY is `d_f` and initial density is `d_i`.
`therefore d_f=(di)/(1+gammaDeltaT)rArr d_i/d_f =(1-gammaDeltaT)`…(1)
Fractional change in density =`(d_i-d_f)/d_i`
`=1-d_f/d_i`
`=1-(1-gamma DeltaT)^(-1)`
USING binomial theorem for EXPANSION from equation (1),
`=1-(1-gammaDeltaT)`
`=gamma DeltaT`
`=5xx10^(-4)xx40`
`=2XX10^(-2)`
=0.020
30.

An object moving along a straight line covers equal distances in equal intervals of time, it is said to be in uniform motion along a straight line. The position-time graph of an object in uniform motion is…….

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a STRAIGHT line PARALLEL to the time AXIS .
straight line parallel to the position axis
a straight line inclined to the time axis
a parabola

Answer :A::C::D
31.

A bullet fired at an angle of 60^(@) with the vertical hits the ground at a distance of 2 km. Calculate the distance at which the bullet will hit the ground when fired at an angle of 45^(@), assuming the speed to be the same.

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ANSWER :`(2.31 KM)`
32.

Three samples of the same gas x, y and z, for which the ratio of specific heats is r=3/2, have initially the same volume. The volumes of each sample is doubled , by adiabatic process in the case x, by iosbaric process in the case of y and by isothermal process in the case of z. If the initial pressures of the samples x,y and z are in the ratio 2 sqrt2 :1 :2, then the ratio of their final pressure is

Answer»

`2:1`
`1:1:1`
`1:2:1`
`1:1:2`

ANSWER :B
33.

When a source of light and an observer from each other, the apparent change in the wavelenght of light is called ________ shift . [Fill in the blank]

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SOLUTION :N/A
34.

A girl is swinging on a swing in the sitting position. How will the period of swing be affected if she stands up?

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Solution : This can be explained using the concept of a simple pendulum. We know that the time period of a simple pendulum is given by
` T = 2PI sqrt(l/g) i.e., T PROP sqrtl`
When the girl stands up, the distance between the POINT of suspension and the centre of mass of the swinging BODY decreases i.e., I decreases, so I will also decrease.
35.

Obtain the formula of mechanical energy of damped oscillation for b lt lt sqrt(km).

Answer»

Solution :Mechanical energy of damped oscillatior, in
`THEREFORE E(t)= (1)/(2) KA^(2) e^(-(bt)/(m)), b lt lt sqrt(km)` then
`(b)/(sqrt(km)) lt lt 1`, by TAKING b=0
`therefore E(t) = (1)/(2) kA^(2)`.
36.

If S is the stress and Y is young's modulus of the material of a wire , then the energy stored in the wire per unit volume is

Answer»

`1/2S^2/Y`
`2Y/S^2`
`S/2Y`
`2S^2Y`

ANSWER :A
37.

How does the energy of a simple pendulum vary as it moves from one extreme to the other during its oscillations?

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Solution :The total energy of a body in S.H.M. is constant. But the CONTENT of PE and KE changes at various positions. At extreme POSITION PE is maximum and KE is zero. At MEAN position KE is maximum and PE is zero.
38.

Two sound waves moves in the same direction in the same medium. The pressure amplutides of the waves are equal but the wavelength of the first wave is double the second. Let the average power transmitted across a cross section by the first wave be P_1 and that by the second wave be P_2 then.

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`P_1=P_2`
`P_1=4P_2`
`P_2=2P_1`
`P_2=4P_1`

ANSWER :A
39.

A particle is projected vertically upwards. Prove that it will be at3//4 of its greatest height at times which are in the ratio 1:3

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Solution :If U is the initial velocity of a PARTICLE while going vertically upwards
then maximum height attained , `h=u^(2)/(2g)`
If t is the time when particle reaches at a height `(3//4)`h, then using the RELATION
`s=ut+1/2at^(2) `
we have `3/4h=1/2ut+(-g)t^(2)`
(or)`3/4(u^(2)/(2g))=ut-1/2"gt"^(2)"(or)" t^(2)-(2u)/"gt"+3/4(u^(2))/(g^(2))=0`
Solving it for t , we have
`t(2u)/g+-sqrt((4U^(2)/g^(2)-4xx1xx3/4u^(2)/g^(2))/2)=u/g+-u/(2g)`
Taking negative sign , `t_(1)=u/g-u/(2g)=(3u)/(2g)`
Taking positive sign `=t_(2)=u/g+u/(2g)=(3u)/(2g)`
`:.t_(1)/t_(2)=((u/2g)/(3u/2g))=1/3`
40.

Distinguish between Geocentric model and Heliocentric model.

Answer»

SOLUTION :
41.

A projectile moving vertically upwards with a velocity of 200 m/s breaks into two equal parts at the height of 490 m.one part starts moving vertically upwards with a velocity of 400 m/s.How much time after the break up wil the other part hit the ground?

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`SQRT10 s `
`2sqrt10 s `
5s
10s

ANSWER :D
42.

A body is projected from height of 60 m with a velocity 10 ms^(-1) at angle 30^(@) to horizontal. The time of flight of the body is [g = 10ms^(-2)].

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1s
2s
3s
4s

Answer :D
43.

Consider the quantites: pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are

Answer»

IMPULSE, PRESSURE and AREA
Impulse and area
Area and gravittational potantial
IMPLUSE and pressure

Answer :B
44.

Water is flowing through a horizontal pipeof variable cross-sectional. The rate of volume flow is 0.2 lit/sec. The pressure is 30,000 Pa. at the point where the area of cross - section is 5xx10^(-5)m^(2). The pressure at the point where the area of cross-section is 10^(-4) is

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6000 Pa
36000 Pa
24000 Pa
30000 Pa

Answer :B
45.

The span area of the wings of an aeroplane is 50 m^(2). When it is running on the runway the pressure of air at the bottom and top of the wings are found to be 0.75x10^(5) pascal and 0.70x10^(5) pascal respectively. Find the dynamic lift on the wings.

Answer»

SOLUTION :`2.5xx10^(5)N`
46.

The correct order in which the dimensions of time decreases in the following physical quantities is 1. Stefan's constant 2. Coefficient of volume expansion 3. Work done 4. Velocity gradient

Answer»

2,4,3,1
1, 2, 3, 4
4,3,2,1
1, 2, 4, 3

Solution :Stefan.s coefficient
`=("Energy")/("Time" xx "Area" xx ("Temperature)^(4))`
`= ([ML^(2)T^(-2)])/([T][L^(2)][K]^(4))= [ML^(0)T^(-3)K^(-4)]`
2. Coefficient of volume expansion= `("Change in volume")/("Original Volume" xx "Temperature")= ([L^(2)])/([L^(2)][K])= [M^(0)L^(0)T^(0)K^(-1)]`
3. `"Work done" = "force" xx "Distance" = [MLT^(-2)][L]= [ML^(2)T^(-2)]`
4. VELOCITY gradient= `("Velocity")/("Distance")`
`= ([LT^(-1)])/([L])= [T^(-1)]= [M^(0)L^(0)T^(-1)]`
The correct order is (a): 2,4, 3, 1
47.

The change in internal energy of the gas andworkdone by the gas in an adiabatic process are

Answer»

UNEQUAL
EQUAL
Only NUMERICALLY equal
No relation.

Answer :C
48.

If unit of mass is taken as 1 kg, of time a 1 minute and that acceleration due to gravity is taken as 9.81 ms^(-2) . What is the unit of energy?

Answer»

Solution :New unit of ENERGY `=E_1`
New unit of mass `M_(1) = 1 kg`
New unit of time `T_(1) = 1 "MINUTE" = 60 "sec"`
New unit of LENGTH `= L_(1)`
`E_(1) = [M_(1) L_(1) T_(1)^(-2) ]`
New unit of acceleration due to gravity,
`g_(1) = 9.81 ms^(-2)`
`g_(1) = L_(1)T_(1) ^(-2)L_(1) = g_(1) T_(1)^(-2) = 9.81 xx (60)^(2) "meter" `
`E_(1) = [ 1 kg xx (9.81 xx 60^(2) )^(2) m^(2) (60)^(-2) S^(-2) ]`
`E_(1) = (1 xx 9.81 xx 60 xx 60 xx 9.81 xx 60 xx 60)/( 60 xx 60) "kgm"^(2) s^(2)`
`E_(1) = 3.464 xx 10^(5) "kg" m^(2) sec^(-2)`
`THEREFORE` The new unit of energy `E_(1) = 3.464 xx 10^(5)` joule.
49.

The velocity-time graph of a particle moving along a srtaight line is as shown in fig. The rate of acceleration and deceleration is constant and it is equal to5ms^(-2).If the avrage velocity during the motion is 20ms^(-1), then The maximum velocity of the particle is

Answer»

5 s
10 s
20s
`5sqrt(2)s`

ANSWER :A
50.

The velocity-time graph of a particle moving along a srtaight line is as shown in fig. The rate of acceleration and deceleration is constant and it is equal to5ms^(-2).If the avrage velocity during the motion is 20ms^(-1), then The distance travelled with uniform velocity is

Answer»

375m
125 m
300 m
450 m

Answer :A