InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 201. |
If `y=e^(x) sinx` then calculate `(dy)/(dx)` |
| Answer» Correct Answer - C | |
| 202. |
Calculate `(dy)/(dx)` for the following :-A. `y=cosx^(3)`B. `y=sin((x)/(2))`C. `y=log_(e)2x`D. `y=e^(-x)` |
| Answer» Correct Answer - A::B::C | |
| 203. |
A travelling wave pulse is given by `y=(4)/(3x^(2)+48t^(2)+24xt+2)` where x and y are in metre and t is in second. The velocity of wave is :-A. 4 m/sB. 2 m/sC. 8 m/sD. 12 m/s |
| Answer» Correct Answer - A | |
| 204. |
Of the following quantities , which one has the dimensions different from the remaining three?A. Energy per unit volumeB. Force per unit areaC. Product of voltage and charge per unit volumeD. Angular momentum per unit mass |
| Answer» Correct Answer - D | |
| 205. |
A thin wire of length `l` when heated to a certain temperature increases its length by `1%`. A sheet of the same material of area `2lxxl` is heated to the same temperature then percentage increase in area will be :-A. `4%`B. `2.5%`C. `2%`D. `1.5%` |
| Answer» Correct Answer - C | |
| 206. |
A metallic rod of cross-sectional area 20 `cm^(2)`, with the lateral surface insulated to prevent heat loss, has one end immersed in boiling water and the other in ice water mixture. The heat conducted through the rod melts the ice at the rate of 1 gm for every 84 sec. The thermal conductivity of the rod is `160 Wm^(-1)K^(-1)`. Latent heat of ice=80 cal/gm, 1 ca=4.2 joule. What is the length (in m) of the rod?A. 4B. 8C. 12D. 16 |
| Answer» Correct Answer - B | |
| 207. |
A heated body maitained at T K emits thermal radiation of total energy E with a maximum intensity at frequency v. The emissivity of the material is 0.5. If the temperature of the body be increased and maintained at temperature 3T K, then :- (i) The maximum intensity of the emitted radiation will occur at frequency v/3 (ii) The maximum intensity of the emitted radiation will occur at frequency 3v. (iii) The total energy of emitted radiation will become 81 E (iv) The total energy of emitted radiation will become 27 EA. i & iiB. ii & iiiC. i & ivD. i, ii & iv |
| Answer» Correct Answer - B | |
| 208. |
The intensity of gravitational field at a point situated at a distance of 8000km form the centre of the earth is `6N//kg`. The gravitational potential at that point is -(in joule /kg)A. -6B. `-4.8xx10^(7)`C. `-8xx10^(5)`D. `-4.8xx10^(2)` |
| Answer» Correct Answer - B | |
| 209. |
Two force vectors each having magnitude 6N are oriented as `30^(@)` from positive of x-axis and other at `90^(@)` with the same axis. Find out their magnitude along with position from positive of x-axis :-A. `6sqrt(3)N,30^(@)`B. `6N, 60^(@)`C. `6sqrt(2)N,60^(@)`D. `6sqrt(3)N,60^(@)` |
| Answer» Correct Answer - D | |
| 210. |
Which one of the following does not reduce to sinx for every x, wherever defined, isA. `(tanx)/(secx)`B. `(sinx)/(sec^(2)x-tan^(2)x)`C. `(sin^(2)xx sec xx)/(tanx)`D. All reduce to sinx |
| Answer» Correct Answer - D | |
| 211. |
A linear harmonic oscillator of force constant `2 xx 10^(6)N//m` and amplitude `0.01 m` has a total mechanical energy of `160 J`. ItsA. maximum potential energy is 100 JB. maximum kinetic energy is 100 JC. maximum potential energy is 160 JD. maximum potential energy is zero |
| Answer» Correct Answer - B::C | |
| 212. |
The phase difference between two `SHM y_(1) = 10 sin (10 pi t + (pi)/(3))` and `y_(2) = 12 sin (8 pi t + (pi)/(4))`to `t = 0.5s` is |
| Answer» Correct Answer - `195^(@)` | |
| 213. |
A small mass executes linear `SHM` about `O` with amplitude a and period `T`. Its displacement from `O` at time `T//8` after passing through `O` is:A. `(a)/(8)`B. `(a)/(2sqrt(2))`C. `(a)/(2)`D. `(a)/(sqrt(2))` |
| Answer» Correct Answer - D | |
| 214. |
A particle is moving with constant speed v along the line y = a in positive x -direction. Find magnitude of its angular velocity about orgine when its position makes an angle `theta` with x-axis.A. `(vsin^(2)theta)/(a)`B. `(vcos^(2)theta)/(a)`C. `v sin theta`D. None |
| Answer» Correct Answer - A | |
| 215. |
A fan is rotating with a speed of 450 rec/minute. Afer being switched off it comes to rest in 10s. Assuming constant angular deceleration, calculate the number of recvolutions made by it before coming to rest.A. 37.5B. 37C. 38.5D. None |
| Answer» Correct Answer - A | |
| 216. |
Which unit is used for measuring nuclear area of cross-section ?A. `mm^(2)`B. FermiC. BarnD. Curie |
| Answer» Correct Answer - C | |
| 217. |
Vectors `vecA and vecB` are mutually perpendicular . Component of `vecA + vecB` in the direction of `vecA- vecB` will be:A. `(A^(2)+B^(2))/(sqrt(A^(2)-B^(2)))`B. `sqrt(A^(2)-B^(2))`C. `(A+B)/(A-B)`D. `(A^(2)-B^(2))/(sqrt(A^(2)+B^(2)))` |
| Answer» Correct Answer - D | |
| 218. |
Which of the following is not correct representation of a unit ?A. NewtonB. SecC. a.m.u.D. All of these |
| Answer» Correct Answer - D | |
| 219. |
Which one of the following is not a fundamental quantity ?A. TemperatureB. Eleetric currentC. PressureD. Length |
| Answer» Correct Answer - C | |
| 220. |
Which of the following is not a fundamental unit in SI system ?A. ampereB. candelaC. kelvinD. Pascal |
| Answer» Correct Answer - D | |
| 221. |
Which of the following is unitless quantity?A. Velocity gradientB. Pressure gradinetC. Displecement gradientD. Force gradient |
| Answer» Correct Answer - C | |
| 222. |
What can be the maximum distance of star which can be measured by using parallax method ?A. 1 parsecB. 1 AUC. 100 lyD. lnfinite |
| Answer» Correct Answer - B | |
| 223. |
Which of the following equations is dimensionally incorrect ? (E= energy, U= potential energy, P=momentum, m= mass, v= speed)A. `E=U+(P^(2))/(2M)`B. `E=mv^(2)+(P^(2))/(m)`C. `2E=(U)/(2)-(1)/(2)mv^(2)`D. `E=(P^(2)U)/(2mv^(2))` |
| Answer» Correct Answer - D | |
| 224. |
Select the incorrect relation. (Where symboles have their usual meanings):-A. `C_(P)=(gammaR)/(gamma-1)`B. `C_(P)-C_(V)=R`C. `DeltaU=(P_(f)V_(f)-P_(i)V_(i))/(1-gamma)`D. `C_(V)=(R)/(gamma-1)` |
| Answer» Correct Answer - C | |
| 225. |
An ideal refrigerator runs between `-23^(@)C` and `27^(@)C`. Find the heat regected to atomosphere for every joule of work input.A. 6 JB. 5 JC. 4 JD. 3 J |
| Answer» Correct Answer - A | |
| 226. |
1 joule of energy is to be converted into new system of units in which length is measured in 10 metre, mass in 10 kg and time in 1 minute. The numerical value of 1 J in the new system is :-A. `36xx10^(-4)`B. `36xx10^(-3)`C. `36xx10^(-2)`D. `36xx10^(-1)` |
| Answer» Correct Answer - D | |
| 227. |
A jet is releasing water at the rate of 6 kg/see with speed of 4 m/sec. Now this water strikes a block of mass 10 kg. find the force exerted on block & its acceleration ? |
| Answer» Correct Answer - `(f=24N,a=2.4m//sec^(2))` | |
| 228. |
A ball of mass 2 kg is moving with velocity 20 m/sec strikes with the surface and rebounds with same speed, if time of contact is 0.1 sec then calculate average force on the ball. |
| Answer» Correct Answer - 800 N | |
| 229. |
The vertical motion of a ship at sea is described by the equation `(d^(x))/(dt^(2))=-4x` , where x is the vertical height of the ship (in meter) above its mean position. If it oscillates through a height of 1 m |
| Answer» Correct Answer - `"["2" m/s",-4" m/s"^(2)"]"` | |
| 230. |
The acceleration of a certain simple harmonic oscillator is given by `a=-(35.28 m//s^(2))cos4.2t` The amplitude of the simple harmonic motion isA. 2.0 mB. 8.4 mC. 16.8 mD. 17.64 m |
| Answer» Correct Answer - A | |
| 231. |
A body makes angular simple harmonic motion of amplitude `pi//10rad` and time period `0.05s`. If the body is at a displacement `theta = pi//10 rad` at `t = 0`, write the equation giving angular displacement as a function of time. |
| Answer» Correct Answer - `"["theta=(pi)/(10)cos40pit"]"` | |
| 232. |
The potential energy of a particle executing `SHM` change from maximum to minimum in `5 s`. Then the time period of `SHM` is:A. 5 sB. 10 sC. 15 sD. 20 s |
| Answer» Correct Answer - D | |
| 233. |
A particle is executing SHM with time period T Starting from mean position, time taken by it to complete `(5)/(8)` oscillations is,A. `(T)/(12)`B. `(T)/(6)`C. `(5T)/(12)`D. `(7T)/(12)` |
| Answer» Correct Answer - D | |
| 234. |
Statement-1 : At low pressure and high temperature real gas approaches the ideal gas behaviour. and Statement-2 : At low prossure and high temperature the molecules are negligible.A. Statement-1 is True, Statement-2 is True , Statement-2 is a correct explanation for Statement-1B. Statement-1 is True, Statement-2 is True , Statement -2 is not a correct explanation for Statement-1C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
| Answer» Correct Answer - A | |
| 235. |
The percentage error in measurement of a physical quantity [m given by `m=pi tan theta`] is minimum when (Assume that error in `theta` remain constant)A. `theta=45^(@)`B. `theta=90^(@)`C. `theta=60^(@)`D. `theta=30^(@)` |
| Answer» Correct Answer - A | |
| 236. |
The sides of a rectangle are `(10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm`. Calculate its perimeter with error limits .A. `(31.4+-0.6)cm`B. `(31.4+-0.3)cm`C. `(51.6+-0.6)cm`D. `(51.6+-0.3)cm` |
| Answer» Correct Answer - A | |
| 237. |
Which of the following measurement is most precise?A. 2.00 mmB. 2.00 cmC. 2.00 mD. 2.00 km |
| Answer» Correct Answer - A | |
| 238. |
The Young modulus (Y) of a material is given by `Y=(WL)/(pir^(2)l)`. If the percentage error in W, L, r and l are `0.5%, 1%, 3%" and "4%` respectively then maximum percentage error in Y is -A. `7.5%`B. `9%`C. `11.5%`D. `13%` |
| Answer» Correct Answer - C | |
| 239. |
Position-time relationship of a particle executing simple harmonic motion is given by equation `x=2sin(50pit+(2pi)/(3))` where x is in meters and time t is in seconds. What is the position of particle at t=0 ?A. `sqrt(2)m`B. `sqrt(3)m`C. 1 mD. 2m |
| Answer» Correct Answer - B | |
| 240. |
Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity `1.5ms^(-1)`. If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is:A. 8 `ms^(-1)`B. 16 `ms^(-1)`C. 24 `ms^(-1)`D. 32 `ms^(-1)` |
| Answer» Correct Answer - C | |
| 241. |
A wheel having moment of inertia 4 kg `m^(2)` about its axis, rotates at rate of 240 rpm about it. The torque which can stop the rotation of the wheel in one minute is :-A. `(5pi)/(7)Nm`B. `(8pi)/(15)Nm`C. `(2pi)/(9)Nm`D. `(3pi)/(7)Nm` |
| Answer» Correct Answer - B | |
| 242. |
If 10 g of ice at `0^(@)C` is mixed with 10 g of water at `40^(@)C`. The final mass of water in mixture is (Latent heat of fusion of ice = 80 cel/g, specific heat of water `=1 cal/g""^(@)C`)A. 10 gB. 15 gC. 18 gD. 20 g |
| Answer» Correct Answer - B | |
| 243. |
Steam is passes into 22 g of water at `20^@C`. The mass of water that will be present when the water acquires a temperature of `90^@C` (Latent heat of steam is `540 cal//g`) isA. 24.8 gmB. 24 gmC. 36.6 gmD. 30 gm |
| Answer» Correct Answer - A | |
| 244. |
A beaker is completely filled with water at `4^(@)C.` It will overflow ifA. heated above `4^(@)C`B. cooled below `4^(@)C`C. both (1) & (2)D. none of the above |
| Answer» Correct Answer - C | |
| 245. |
The bulk modulus of rubber is `9.1xx10^(8)N//m^(2)`. To what depth a rubber ball be taken in a lake so that its volume is decreased by `0.1%`?A. 25mB. 91mC. 200mD. 500m |
| Answer» Correct Answer - B | |
| 246. |
A particle is projected vertically upwards from the earth. It crosses the same point at t=2 sec and t=8 sec. Find out `[g=10 ms^(-2)]` (i) the time for which particle remains in air (ii) intial velocity of particle (iii) maximum height attained by the particle (iv) height of the particle at t=2 sec and t=8 sec from earth |
|
Answer» Correct Answer - (i) 10 sec (ii) 50 m//s (iii) 125 m (iv) 80 m |
|
| 247. |
A metal plate of area `10^(3)" "cm^(2)` rests on a layer o oil 6 mm thick. A tangential force of `10^(-2)` N is appled on it to move it with a constant velocity of 6 cm `s^(-1)` . The coefficient of viscosity of the liquid is :-A. 0.1 poiseB. 0.5 posieC. 0.7 poiseD. 0.9 poise |
| Answer» Correct Answer - A | |
| 248. |
Liquid rises to a height of 2 cm in a capillary tube and the angle of contact between the solid and the liquid is zero. If the tube is depressed more now so that top of capillary is only 1 cm above the liquid, then the apparent angle of contact between the solid and the liquid isA. `0^(@)`B. `30^(@)`C. `60^(@)`D. `90^(@)` |
| Answer» Correct Answer - C | |
| 249. |
The neck and bottom of a bottle are 3 cm and 15 cm in radius respectively. If the cork is pressed with a force 12 N in the neck of the bottle, then force exerted on the bottom of the bottle is :-A. 30 NB. 150 NC. 300 ND. 600 N |
| Answer» Correct Answer - C | |
| 250. |
Water flows in a streamline manner through a capillary tube of radius a. The pressure difference being P and the rate of flow is Q . If the radius is reduced to `a//2` and the pressure difference is increased to 2P, then find the rate of flow.A. 4QB. 2QC. QD. Q/8 |
| Answer» Correct Answer - D | |