InterviewSolution
Saved Bookmarks
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.
| 1. |
Water is filled to height `h` in a fixed vertical cylinder placed on horizontal surface. At time `t = 0` a small hole a drilled at a height `h//4` from bottom of cylinder as shown. The cross section area of hole is a and the cross-section area of cylinder is `A` such that `A gtgt a`. Let the value of horizontal distance of point where the4 water fall on horizontal surface from bottom of cylinder be `x` as shown. Then from time `t = 0` till water comes out of hole, pick the correct statement:A. increasesB. decreasesC. remains constantD. increases and then decreases |
| Answer» Correct Answer - C | |
| 2. |
An ideal fluid flows through a pipe of circular cross-section made of two sections with diameters `2.5 cm` and `3.75 cm`. The ratio of the velocities in the two pipes isA. `9 : 4`B. `3 : 2`C. `3 : 2`D. `2 : 3` |
| Answer» Correct Answer - A | |
| 3. |
A sealed tank containing a liquid of density `rho` moves with horizontal acceleration a as shown in the figure. The difference in pressure between two points `A` and `B` will be A. `h rho g`B. `l rho a`C. `h rho g - rho al`D. `h rho g + rho al` |
| Answer» Correct Answer - D | |
| 4. |
A body of density `rho` is dropped from rest from height h (from the surface of water) into a lake of density of water `sigma(sigmagt rho)`. Neglecting all disspative effects, the acceleration of body while it is in the take isA. `g ((sigma)/(rho)-1)` upwardsB. `g((sigma)/(rho)-1)` downwardsC. `g ((sigma)/(rho))` upwardsD. `g((sigma)/(rho))` downwards |
| Answer» Correct Answer - A | |
| 5. |
A balloon is at a height of 40 m and is ascending with a velocity of `10 ms^(-1)`. A bag of 5 kg weight is dropped from it, when will the bag reach surface of earth ? `(g = 10 m//s^(2))`A. 2 secB. 4 secC. 6 secD. `2 sqrt(2) sec` |
| Answer» Correct Answer - B | |
| 6. |
The distance of an object from a spherical mirror is equal to the focal length of the mirror. Then the image.A. must be at infinityB. may be at infinityC. may be at the focusD. none |
| Answer» Correct Answer - B | |
| 7. |
A beam of monochromatic light is incident at `i= 50^(@)` on one face of an equilateral prism, the angle of emergence is `40^(@)`, then the angle of minimum deviation is :A. `30^(@)`B. `lt 30^(@)`C. `le 30^(@)`D. `ge 30^(@)` |
| Answer» Correct Answer - B | |
| 8. |
A coverging beam of light is incident on the concave mirror. Then the reflected light :A. forms real imageB. it may form virtual imageC. forms virtual imageD. none of these |
| Answer» Correct Answer - A | |
| 9. |
Three identical circular coils A, B and C are placed coaxial (with planes parallel to each other) The coils A and C equal currents in opposite direction as shown. The coils B and C are fixed in positions and the coil A is moved towards B wiyj uniform motion then - A. there is no induced current in BB. current produced by A and C in B will be equal and opposite, therefore net current in B is zeroC. there is an induced current in B which is in anticlockwise directionD. there is an induced current in B which is in clockwise direction |
| Answer» Correct Answer - C | |
| 10. |
Three point masses A,B,C each of mass m are moving on the same circular path and are always equidistant from each other. The radius of circular is R and the speed of each mass is same and equal to V. The only force acting on each mass is the graviational force because of the other two masses. Choose the correct statementA. power of gravitational force by A on B is non-zeroB. power of the gravitational force by A on B is zeroC. power of net force on A in the frame of B is zeroD. the ratio of magnitude of relative velocity of A with respect B and A with respect to C is `1 : 1` |
| Answer» Correct Answer - A::C::D | |
| 11. |
A container of a large uniform cross-sectional area `A` resting on a horizontal surface holds two immiscible, non viscous and incompressible liquids of densities `d` and `2d`, each of height `H//2` as shown in figure. The lower density liquid is open to atmosphere. A homogeneous solid cylinder of length `L(L lt (H)/(2))`, cross-sectional area `A//5` is immersed such that it floats with its axis vertical of the liquid-liquid interface with length `L//4` denser liquid. Determine (a) density `D` of the solid and (b) the total pressure at the bottom of the container. (Atmospheric pressure `= P_0`). .A. `D = (3d)/(2)`B. `D = (d)/(2)`C. `D = (2d)/(3)`D. `D = (5d)/(4)` |
| Answer» Correct Answer - D | |
| 12. |
Through an electrolyte an electrical current is due to drift ofA. free electronsB. positive and negative ionsC. free electrons and holesD. protons |
| Answer» Correct Answer - B | |
| 13. |
In the given network shown in the figure, the equivalent resistance is : A. R/3B. 2 R/3C. 5 R/3D. none |
| Answer» Correct Answer - A | |
| 14. |
A body of mass `m` is lifted up from the surface of earth to a height three times the radius of the earth `R`. The change in potential energy of the body isA. 3 mgRB. 3/4mgRC. 1/3 mgRD. 2/3 mgR |
| Answer» Correct Answer - B | |
| 15. |
Find a unit vector in the direction from point `P(1,-1,2)` to point `Q(-1,1,1)`. |
| Answer» Correct Answer - `(-2 hat (i) + 2 hat(j) - hat (k))/(3)` | |
| 16. |
Choose the correct mirror image of A. B. C. D. |
| Answer» Correct Answer - C | |
| 17. |
A point object is placed at distance of 30 cm from a convex mirror of local length 30 cm. The image will form atA. infinityB. poleC. focusD. `15 cm` behind the mirror |
| Answer» Correct Answer - D | |
| 18. |
A particular hydrogen like atom has its ground state Binding energy `= 122 eV`. It is in ground state. ThenA. its atomic number is 3B. An electron of 90 eV can excite itC. An electron of kinetic energy 91.8 eV can be brought to almost rest by this atomD. An electron of KE nearly 2.6 eV may emerge from the atom when electron of KE 125 eV collisions with this atom. |
| Answer» Correct Answer - A::C::D | |
| 19. |
What is the minimum acceleration with which bar A (figure) should be shifted horizontally to keep bodies 1 and 2 stationary relative to the bar? The masses of the bodies are equal, and the coefficient of friction between the bar and the bodies is equal to k. The masses of the pulley and the threads are negligible, the friction in the pulley is absent. |
| Answer» Correct Answer - `a_(min) = (1-k)/(1-k)g` | |
| 20. |
A planet is revolving around a star with a time period of 2 days. If radius of star trippled keeping same. Planet will revolve with these changed parameters. Select correct open (s) :A. with time period of 6 kgB. with `(1)/(sqrt(3))rd` orbital speed of initial speedC. with potential energy `(1)/(sqrt(3))` times of its initial potential energyD. None of these |
| Answer» Correct Answer - D | |
| 21. |
The time constant of the circuit shown in the figure is A. `(3RC)/(2)`B. `RC`C. `(5RC)/(3)`D. `(2RC)/(3)` |
| Answer» Correct Answer - C | |
| 22. |
In a balanced wheat stone bridge, current in the galvanometer is zero. If remains zero when- `(1)` battery emf is increased `(2)` all resistance are increased by `10`ohms `(3)` all resistance are made five times `(4)` the battery and the galvanometer are interchargedA. battery emf is increasedB. all resistances are increased by 10 ohmsC. all resistances are made five timesD. the battery and the galvanometer are interchanged |
| Answer» Correct Answer - A::C::D | |
| 23. |
A car moves uniformly along a horizontal since curvey `= a sin (x//alpha)`, when a and are certain constnat The coefficient of friction between the wheels and the road is equal to `mu`. At what velocity will the car ride without sliding ? |
| Answer» Correct Answer - A | |
| 24. |
Which of the following do not form diminished virtual image of a real object ?A. concave mirrorB. convex mirrorC. plane mirrorD. none of these |
| Answer» Correct Answer - A::C | |
| 25. |
The speed of light in a homogeneous medium of refractive index `(5)/(4)` isA. `2.4 xx 10^(5) km//sec`B. `2.4 xx 10^(5) m//s`C. `2.4 xx 10^(8) cm//s`D. All the above |
| Answer» Correct Answer - A | |
| 26. |
Figure shows the displacement time graph of a particle moving on the X-axis A. the particle is continuously going in positive `x` directionB. the particle is at restC. the velocity increases up to a time `t_(o)` and then becomes constantD. the particle moves at a constant velocity up to a time `t_(o)`, and then stops. |
| Answer» Correct Answer - D | |
| 27. |
Fountains usually seen in gardens are generated by a wide pipe with an enclosure at one end having many small holes. Consider one such fountain which is produced by a pipe of internal diameter ? Cm in which water flows at a rate `30 ms^(-1)`. The enclosure has `100` holes of diameter `0.5 cm` The velocity of water coming out of the holes is `("in ms"^(-1))`A. `0.48`B. 96C. 24D. 48 |
| Answer» Correct Answer - D | |
| 28. |
A small particle of mass m = 1 kg and charge of 1C enters perpendicularly in a triangular region of uniform magnetic field of strength 2T as shown in figure : In the previous question find the change in angular momentum of particle w.r.t centre of its circular path during its motion in magnetic field :A. `1152 kg.m^(2)//s`B. `576 kg.m^(2)//s`C. `2304 kg.m^(2)//s`D. zero |
| Answer» Correct Answer - D | |
| 29. |
In a compound microscopeA. the objective has a shortest focal lengthB. the objective has a shorte apertureC. (A) and (B)D. the apperture of objective and eyepiece are same. |
| Answer» Correct Answer - C | |
| 30. |
Two balls are projected from points A and B in vertical plane as shown in figure. AB is a straight vertical line. The balls can collide in mid air if `v_1//v_2` is equal to A. `(sin theta_(1))/(sin theta_(2))`B. `(sin theta_(2))/(sin theta_(1))`C. `(cos theta_(1))/(cos theta_(2))`D. `(cos theta_(2))/(cos theta_(1))` |
| Answer» Correct Answer - D | |
| 31. |
A particle is projected at an angle of elevation `alpha` and after t second it appears to have an elevation of `beta` as seen from the point of projection. Find the initial velocity of projection.A. `(g t)/(2 sin (alpha-beta))`B. `(gt cos beta)/(sin (alpha-beta))`C. `(sin (alpha-beta))/(2g t) `D. `(2 sin (alpha-beta))/(g t cos beta)` |
| Answer» Correct Answer - B | |
| 32. |
The rainbow formed after or during the rain is due toA. total internal reflection of sunlight by rain drops suspended in airB. total internal reflection and dispersion of sunlight by the water drops suspended in airC. interference of lightD. defect of eye |
| Answer» Correct Answer - B | |
| 33. |
The spectra of a black body at temperatures `273^(@)C` and `546^(@)C` are shown in the figure. If `A_(1)` and `A_(2)` be area under the two curves respectively, the value of `(A_(2))/(A_(1))` is A. `(81)/(16)`B. `(16)/(1)`C. `(27)/(8)`D. `(16)/(81)` |
| Answer» Correct Answer - A | |
| 34. |
One mole of an ideal gas at temperature `T_` expands slowly according to the law `p/V=` constant. Its final temperature is `T_2`. The work done by the gas isA. `R(T_(2)-T_(1))`B. `2R(T_(2)-T_(1))`C. `(R)/(2)(T_(2)-T_(1))`D. `(2R)/(3)(T_(2)-T_(1))` |
| Answer» Correct Answer - C | |
| 35. |
In the figure shown an ideal alternative current (A,C) source of 10 Volt is connected. Find half of the total average power (in watts) given by the source to the circuit. |
| Answer» Correct Answer - 9 | |
| 36. |
`int 2 sin (x)dx` is equal to :A. `-2 cos x +C`B. `2 cos x +C`C. `-2 cos x`D. `2 cos x` |
| Answer» Correct Answer - A | |
| 37. |
`cos((11 pi)/(6))=`A. `(1)/(2)`B. `- (sqrt(3))/(2)`C. 0D. `(sqrt(3))/(2)` |
| Answer» Correct Answer - D | |
| 38. |
`sin (750^@)=`A. `(1)/(2)`B. `-(1)/(2)`C. 0D. `(sqrt(3))/(2)` |
| Answer» Correct Answer - A | |
| 39. |
`sec (pi + theta)` is -A. `cos theta`B. `tan theta`C. `sec theta`D. `-sec theta` |
| Answer» Correct Answer - D | |
| 40. |
A solid sphere rolling on a rough horizontl surface with a lilner speed v collides elastically with a fixed, smooth, vertical wall. Find the speed of the sphere after it has started pure rolling in the backward direction.A. `3v//7`B. `5v//7`C. `2v//7`D. None of these |
| Answer» Correct Answer - A | |
| 41. |
A cylinder of mass m radius R is spined to a clockwise angular velocity `omega_(o)` and then gently placed on an inclined plane for which coefficient of friction `mu = tan theta, theta` is the angle of inclined plane with the horizontal. The centre of mass of cylinder will remain stationary for time A. `omega_(o)R//g sin theta`B. `2 omega)(o)R//3g sin theta`C. `2 omega_(o)R//5 sin theta`D. `omega_(o)R//2 g sin theta` |
| Answer» Correct Answer - D | |
| 42. |
Two plane mirrors are kept such that angle between their reflecting surfaces is `40^(@)`. A point object is kept symmetrically with respect to the mirrors. The total number of images formed by one mirror is :A. 8B. 9C. 4D. 5 |
| Answer» Correct Answer - C | |
| 43. |
Consider the situation in Fig. The bottom of the pot is a reflecting plane mirror, Sis a small fish, and T is a human eye. Refractive index of water is `mu`. a. At what distance(s) from itself will the fish see the image(s) of the eye? b. At what distance(s) from itself will the eye see the image(s) of the fish? A. At the distance `H(mu+1/2)` above itself will the fish see the image of the eye.B. At the distance `H(1+1/(2mu))` below itself will the eye see the image of the fishC. At the distance `H(mu+3/2)` below itself will the fish see the image of the eye.D. At the distance `H(1+3/(2mu))` below itself will the eye see the image of the fish |
| Answer» Correct Answer - A::B::C::D | |
| 44. |
A 1 kg block is being pushed against a wall by a force F=75N as shown in the figure. The coefficient of friction is 0.25. The magnitude of acceleration of the block is: A. `10 m//s^(2)`B. `20 m//s^(2)`C. `5 m//s^(2)`D. none |
| Answer» Correct Answer - B | |
| 45. |
Figure shows a smooth track, a part of which is a circle of radius `r`. A block of mass `m` is pushed against a spring of spring constant `k` fixed at the left end and is then released. Find the initial compression of the spring so that the block presses the track with a force `mg` when it reaches the point P, where the radius of the track is horizontal. A. `sqrt((3mgR)/(k))`B. `sqrt((mgR)/(k))`C. `sqrt((2mgR)/(k))`D. None |
| Answer» Correct Answer - A | |
| 46. |
A person, standing on the roof of a 40 m high tower, throws a ball vertically upwards with speed 10 m/s. Two seconds later, he throws another ball again in vertical direction (use `g=10(m)/(s^2)`). Both the balls hit the ground simultaneously.A. The first stone hits the ground after `4` seconds.B. The second ball was projected vertically downwards with speed `5 m//s`.C. The distance travelled by the first ball is `10 m` greater than the distance travelled by the second ball.D. Both ball hit the ground with same velocities. |
| Answer» Correct Answer - A::C::D | |
| 47. |
A ray of light is incident at an `angle` of `30^(@)` on a plane mirror `M_(1)`. Another mirror `M_(2)` is inclined at angle `theta` to `M_(1)`. What is the value of angle `theta` so light reflected from `M_(2)` is parallel to `M_(1)`. .A. `60^(@)`B. `75^(@)`C. `67.5^(@)`D. none of these |
| Answer» Correct Answer - A | |
| 48. |
The velocity time graph of a body is shown in fig. it indicates that : A. At `B` there is a force but towards motionB. At `B` there is a force which opposes motionC. None of the above is trueD. |
| Answer» Correct Answer - C | |
| 49. |
Two bodies `P` and `Q` of equal masses are suspended from two separate massless springs of force constants `k_(1)` and `k_(2)` respectively. If the two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of `P` to that of `Q` isA. `k_(1)//k_(2)`B. `sqrt(k_(1)//k_(2))`C. `k_(2)//k_(1)`D. `sqrt(k_(2)//k_(1))` |
| Answer» Correct Answer - D | |
| 50. |
Fuse wire is a wire of :A. Low resistivity and low melting pointB. Low resistance and high melting pointC. High resistance and high melting pointD. High resistance and low melting point |
| Answer» Correct Answer - D | |