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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.
| 1. |
The force `F_(1)` required to just moving a body up an inclined plane is double the force `F_(2)` required to just prevent the body from sliding down the plane. The coefficient of friction is `mu`. The inclination `theta` of the plane is :A. `tan ^(-1) mu`B. `tan^(-1) mu/2`C. `tan^(-1)2mu`D. `tan^(-1) 3mu` |
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Answer» Correct Answer - d |
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| 2. |
A curved section of a road is banked for a speed `v`. If there is no friction between the road and the tyres then.A. a car moving with speed v does not slip on the roadB. a car is more likely to slip on the road at speeds higher than v, than at speeds lower than vC. a car is more likely to slip on the road at speeds lower than v, than at speeds higher thab v.D. a car can remain stationary on the road without slipping. |
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Answer» Correct Answer - a |
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| 3. |
Repeat above Question 3, if the charge is negative and the angle made by the boundary with the velocity is `theta = pi/6.`A. `cos^(-1)((1)/(sqrt(3)))`B. `sin^(-1)((1)/(sqrt(3)))`C. `(pi)/(2)-sin^(-1)((1)/(sqrt(3)))`D. `(pi)/(2)-cos^(-1)((1)/(sqrt(3)))` |
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Answer» Correct Answer - a |
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| 4. |
The above question 26, the normal force acting, betweent :A. wedge and incline plane is `Mg cos theta`B. m and wedge is zeroC. m and wedge is zeroD. m and wedge is `mg sin theta` |
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Answer» Correct Answer - a,b |
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| 5. |
A small block of mass `m` is released from rest from point `A` inside a smooth hemisphere bowl of radius `R`, which is fixed on group such that `OA` is horizontal. The ratio `(x)` of magnitude of centripetal force and normal reaction on the block at any point `B` varies with `theta` as : A. B. C. D. |
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Answer» Correct Answer - a |
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| 6. |
In the following figure all surfaces are smooth. The system is released from rest , then : A. acceleration of wedge is greater then `g tan theta`B. acceleration of `m` is `g sqrt(1+2cos^(2) theta)`C. acceleration of m is gD. acceleration of wedge is `g sin theta` |
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Answer» Correct Answer - c,d |
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| 7. |
All surfaces shown in figure are smooth. System is released with the spring instretched. In equilibrium, compression in the spring will be A. `(2mg)/(k)`B. `((M+m)g)/(sqrt(2)k)`C. `(mg)/(sqrt(2)k)`D. `(mg)/(k)` |
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Answer» Correct Answer - d |
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| 8. |
An iron sphere weighing `10N` rests in a `V` shaped smooth trough whose sides form an angle of `60^(@)` as shown in the Then the reaction forces are .A. `R_(A)=10N and R_(B)=0` in case (i)B. `R_(A)=10 N and R_(3)=10N` in case (ii)C. `R_(A)=(20)/(sqrt(3))N and R_(B) ~= (10)/(sqrt(3))N` in case (iii)D. `R_(A)=10 N and R_(B)=10N` in all the three cases |
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Answer» Correct Answer - a,b,c |
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| 9. |
In the figure, the pulley P moves to the right with a constant speed `u`. The downward speed of A is `v_(A)`, and the speed of B to the right is `v_(B)` : A. `v_(B)=u+u_(A)`B. `v_(B)+u=v_(A)`C. `v_(A)=v_(B)`D. The two blocks have acceleration of the same magnitude |
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Answer» Correct Answer - a,d |
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| 10. |
a particle is moving in a circle of radius R in such a way that at any instant the normal and the tangential component of its acceleration are equal. If its speed at `t=0` is `v_(0)` then time it takes to complete the first revolution is `R/(alphav_(0))(1-e^(-betapi))`. Find the value of `(alpha+beta)`.A. `R//u_(0)`B. `u_(0)//R`C. `(R)/(u_(0))(1-e^(-2pi))`D. `(R)/(u_(0)) e^(-2pi)` |
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Answer» Correct Answer - c |
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| 11. |
A body moves on a horizontal circular road of radius `r`, with a tangential acceleration `a_(t)`. The coefficient of friction between the body and the road surface Is `mu`. It begins to slip when its speed is `v`. (i) `v^(2)=murg` (ii) `mug=(v^(4)/(r^92))+a_(t))` (iii) `mu^(2)g^(2)=(v^(4)/(r^(2)+a_(t)^(2))` (iv) The force of friction makes an angle `tan^(-1)(v^(2)//a_(t)r)` with the direction of motion at the point of slipping.A. `v^(2) = mu rg`B. `mu g=(v^(2))/(r) +a_(t)`C. `mu^(2)g^(2)=(u^(4))/(r^(2))+a_(t)^(2)`D. The force of friction makes an angle `tan^(-1)(v^(2)//a_(t)r)` with the direction of motion at the point of slipping. |
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Answer» Correct Answer - c,d |
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| 12. |
Block A is placed on block B. There is friction between the blocks, while the ground is smooth. A horizontal force P, increasing linearly with time, begins to act on A. The accelerations `a_(1) & a_(2)` of A and B respectively. Are plotted against time (t). Time correct graph is : A. B. C. D. |
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Answer» Correct Answer - c |
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| 13. |
In the arrangement shown in figure the wall is smooth and friction coefficient between the blocks is `mu = 0.1`. A horizontal force `F = 1000 N` is applied on the `2kg` block. The wrong statement is : A. The normal interaction force between the blocks is `1000 N`.B. The friction force between the blocks is zero.C. Both the blocks accelerate downward with acceleration `g m//s^(2)`D. Both the blocks remain at rest |
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Answer» Correct Answer - b |
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| 14. |
Consider the system as shown. The wall is smooth, but the surface of block A & B in contact is rough. The friction force on B due to A equilibrium is : A. ZeroB. UpwardsC. DownwardsD. The system cannot remain in equilibrium |
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Answer» Correct Answer - d |
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| 15. |
A block of mass 2kg is held at rest against a rough vertical wall by passing a horizontal (normal) force of `45 N`. Coefficient of friction between wall and the block is equal to 0.5. Now a horizontal force of `15 N` (tangential to wall) is also applied on the block. Then the block will :A. Move horizontally with acceleration of `5 m//s^(2)`B. Start to move with an acceleration of magnitude `1.25 m//s^(2)`C. Remain stationaryD. Start to move horizontally with acceleration greater than `5 m//s^(2)` |
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Answer» Correct Answer - b |
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| 16. |
In the adjacent figure, x-axis has been taken down the inclined plane. The coefficient of friction varies with `x` as `mu = kx`, where `k = tan theta`. A block is released at O The maximum velocity of block will be :A. `sqrt(g)`B. `sqrt(g sin theta)`C. `sqrt(g cos theta)`D. `sqrt(g tan theta)` |
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Answer» Correct Answer - b |
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| 17. |
A plank of mass 3m is placed on a rough inclined plane and a man of mass m walks down the board. If the coefficient of friction between the board and inclined plane is `mu = 0.5`, the minimum acceleration of does not slide is: A. `8 m//s^(2)`B. `4 m//s^(2)`C. `6 m//s^(2)`D. `3 m//s^(2)` |
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Answer» Correct Answer - a |
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| 18. |
In the adjacent figure, x-axis has been taken down the inclined plane. The coefficient of friction varies with `x` as `mu = kx`, where `k = tan theta`. A block is released at O Frictional acting on the block just before it comes to rest :A. `mg sin theta`B. `2mg sin theta`C. `(mg sin theta)/(2)`D. `2mg cos theta` |
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Answer» Correct Answer - b |
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| 19. |
A triangular block mass m rests on a fixed rough inclined plane having friction coefficient `mu` with the block. A horizontal force F is applied to it as shown in figure below, then the correct statement is : A. Friction force is zero when `F cos theta = mg sin theta`B. The value of limiting friction is `mu (mg sin theta + F cos theta)`C. Normal reaction on the block is `F sin theta + mg cos theta`D. The value of limiting friction is `mu (mg sin theta - F cos theta)` |
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Answer» Correct Answer - a,c |
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| 20. |
In the arrangement shown below pulleys are mass less and frictionless and threads are in responsible block of mass `m_(1)` will remain at rest if : A. `4/m_(1)=1/m_(2)+1/m_(3)`B. `m_(1)=m_(2)=m_(3)`C. `1/m_(1)=1/m_(2)+1/m_(3)`D. `1/m_(3)=2/m_(2)+3/m_(1)` |
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Answer» Correct Answer - a |
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| 21. |
In order to raise a mass of 100 kg, a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with acceleration `5g//4` relative to the rope. The tension in the rope is (take `g=10 ms^(-2)`) A. `92.8N`B. `12.18 N`C. `1432 N`D. `642 N` |
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Answer» Correct Answer - b |
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| 22. |
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle `theta` should be : A. ZeroB. `30^(@)`C. `45^(@)`D. `60^(@)` |
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Answer» Correct Answer - c |
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| 23. |
Two men of unequal hold to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible ? A. The heavier man is stationary while the lighter man moves with some accelerationB. The lighter man is stationary while the heavier man move with some accelerationC. The ligher man is stationary while the heavier man move with some accelerationD. The two men move with acceleration of the same magnitude in opposite directions. |
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Answer» Correct Answer - a,c,d |
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| 24. |
A shot putter with a mass of 80 kg pushes the iron ball of mass of 6 kg from a standing position accelerating it uniformly from rest at an angle of `45^(@)` with the horizontal during a time interval of 0.1 seconds. The ball leaves his hand when it is 2m high above the level, ground and hits the ground 2 seconds later. The horizontal distance between the point of release and the point where the ball hits the ground :A. 16 mB. 18 mC. 20 mD. 22 m |
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Answer» Correct Answer - b |
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| 25. |
Lift can move in y-axis as well as along x-axis. A ball of mass m is attached to ceiling of lift with inetensible light rope and box of mass mis placed against a wall as shown in figure. Neglect friction everywhere. `|{:(,"Column -1",,"Column -2"),((A),"In figure lift is moving along x-axis",(P),"zero"),(,"then, value of T may be",,),((B),"Lift moving toward right along",(Q),gt mg),(,"x-axis with decreasing speed then",,),(,"value of N may be",,),((C),"Lift is moving in upward direction",(R),lt mg),(,"(y-axis) then value of T may be",,),((D),"Lift is moving in downward",(S),=mg),(,"direction with constant velocity",,),(,"then value of T may be",,):}|` |
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Answer» Correct Answer - A-Q, S; B-Q, R, S; (C) P, Q, R, S; D-S |
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| 26. |
A steel ball is placed on the surface of water in a deep tank. Water exerts a resistive force which is proportional to the velocity of the ball. The steel sinks into the water:A. With decreasing acceleration and finaly attains a constant velocityB. with constant acceleration equal to the gravitational accelerationC. with constant acceleration less than the gravitational accelerationD. with acceleration decreasing initially and reversing after a finite time |
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Answer» Correct Answer - a |
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| 27. |
A lift can move upward or downward. A light inextensible string fixed from ceiling of lift when a frictionless pulley and tensions in string `T_(1)`. Two masses of `m_(1) and m_(2)` are connected with inextensible light string and tension in this string `T_(2)` as shown in figure. Read the questionbs carefully and answer If `m_(1)=m_(2) and m_(1)` is moving at a certain instant with velocity `v` upward with respect to lift and the lift is moving in upward direction with constant acceleration `(a lt g)` then speed of `m_(1)` with respect to lift :A. increasesB. decreasesC. remains constantD. depend upon acceleration of lift |
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Answer» Correct Answer - c |
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| 28. |
A lift can move upward or downward. A light inextensible string fixed from ceiling of lift when a frictionless pulley and tensions in string `T_(1)`. Two masses of `m_(1) and m_(2)` are connected with inextensible light string and tension in this string `T_(2)` as shown in figure. Read the questionbs carefully and answer If `m_(1)` is very small as compared to `m_(2)` and lift is moving with constant velocity then value of `T_(2)` is nearly :A. `m_(2)g`B. `2m_(1)g`C. `(m_(1)+m_(2))g`D. zero |
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Answer» Correct Answer - b |
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| 29. |
Two objects A and B are thrown upward simultaneously with the same speed. The mass of A is greater than the mass of B. Suppose their exerts a constant and equal force of resistance on the two bodies.A. A will go higher than BB. B will go higher than AC. The two bodies will reach the same heightD. Any of the above three may happen depending on the speed with which the objects are thrown |
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Answer» Correct Answer - a |
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| 30. |
A force of `100 N` is applied on a block of mass 3kg as shown below. The coefficient of friction between wall and the block is `1//4`. The friction force acting on the block is : A. 15 N downwardsB. 25 N upwardsC. 20 N downwardsD. 20 N upwards |
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Answer» Correct Answer - c |
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| 31. |
The narrow tube AC forms a quarter circles in a vertical plane. A ball B has an area of cross-section slighly smaller than that of the tube and can move without friction through it. B is placed at A and displaced slightly. During the motion from A to C it will : |
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Answer» Correct Answer - c |
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| 32. |
A particle of mass m is attached to one end of string of length l while the other end is fixed to point `h(h lt l)` above a horizontal table. The particle is made to revolve in a circle on the table so as to make p revolutions per second. The maximum value of p, if the particle is to be in contact with the table, is : `(l gt h)`A. `2pisqrt(gh)`B. `sqrt(g//h)`C. `2pi sqrt(h//g)`D. `(1)/(2pi)sqrt(h//g)` |
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Answer» Correct Answer - d |
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| 33. |
If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be created without spilling the sand onto the surrounding. Area, if `mu` is the coefficient of friction between sand particle is:A. `mu^(2) R`B. `muR`C. RD. `R/mu` |
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Answer» Correct Answer - b |
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| 34. |
A river is flowing with speed 3 km/hr west to east. A man swims with speed 5 km/hr in still water. Man is at south bank of the river. Match the column-1 with direction of velocities of man w.r.t. ground in column-2 |
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Answer» Correct Answer - A-P; B-R; C-Q |
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| 35. |
A simple pendulum is oscillating without damping. When the displacement of the bob is less then maximum, its acceleration vector `vec(a)` is correctly shown in :A. B. C. D. |
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Answer» Correct Answer - c |
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| 36. |
A particle initially at rest is released from A as shown in figures. The approximate variation of direction of resultant acceleration as particle moves from A to B is : A. clockwiseB. anticlockwiseC. direction does not changesD. none of these |
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Answer» Correct Answer - a |
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| 37. |
A particle is moving on a straight line. It is initially at rest `v=` instantaneous velocity P = instantaneous power S = displacement F= force t = time Match the possible expression of the quantities in column-1 with the situation in column-2 `{:(,"Column-1",,"Column-2"),("(A)",v^(3) prop S,"(P)","P = constant"),("(B)",v^(2) prop t,"(Q)",P prop v),("(C)",v^(2) prop S,"(R)","F = constant"),("(D)",v prop t,"(S)",F prop (1)/(v)),(,,"(T)",P prop t):}` |
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Answer» Correct Answer - A-P, S; B-P, S; C-R, T; D-Q, R, T |
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| 38. |
A very small cube of mass 2kg is placed on the surface of a funnel as shown in figure. The funnel is rotating about its vertical axis of symmetry with angular velocity `omega`. The wall of funnel makes an angle `37^(@)` with horizontal. The distance of cube from the axis of rotation is 20 cm and friction coefficient is `mu` (Take `g = 10 m//s^(2)`) The friction force acting between the block and surface (if `mu = 0.3`) of funnel at `omega = 5 rad//s` is :A. 6.6 NB. 4 NC. 2.2 ND. zero |
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Answer» Correct Answer - b |
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| 39. |
A very small cube of mass 2kg is placed on the surface of a funnel as shown in figure. The funnel is rotating about its vertical axis of symmetry with angular velocity `omega`. The wall of funnel makes an angle `37^(@)` with horizontal. The distance of cube from the axis of rotation is 20 cm and friction coefficient is `mu` (Take `g = 10 m//s^(2)`) For what value of `omega`, there would be no frictional force acting between the surfaces :A. 5 rad/secB. `sqrt((75)/(2))` rad/secC. `sqrt(6)` rad/secD. `sqrt(40)` rad/sec |
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Answer» Correct Answer - b |
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| 40. |
A very small cube of mass 2kg is placed on the surface of a funnel as shown in figure. The funnel is rotating about its vertical axis of symmetry with angular velocity `omega`. The wall of funnel makes an angle `37^(@)` with horizontal. The distance of cube from the axis of rotation is 20 cm and friction coefficient is `mu` (Take `g = 10 m//s^(2)`) The mimimum value of angular velocity for which relative slipping occurs and also the direction of frictional force acting `mu = 2//3` :A. `sqrt((15)/(9))`B. `sqrt((15)/(3))`C. `sqrt((9)/(25))`D. `sqrt((3)/(25))` |
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Answer» Correct Answer - a |
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| 41. |
A block of mass 10 kg is suspended through two light spring balance as shown below: A. Both the scales will read 5 kgB. The upper scale will read 10 kg & the lower zeroC. Both the scales will read 10 kgD. The readings may be anything but their sum will be 10 kg |
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Answer» Correct Answer - c |
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| 42. |
Given `m_(A) = 30 kg, m_(B) = 10 kg, m_(C) = 20 kg`. Between a & B `mu_(1) = 0.3`, between B & C `mu_(2) = 0.2` & between C & ground `mu_(3) = 0.1`. The least horizontal force F to start motion of ant part of the system of three blocks resting upon one another as shown below is : (Take `g = 10m//s^(2)`) A. 90 NB. 80 NC. 60 ND. 150 N |
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Answer» Correct Answer - c |
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| 43. |
The acceleration of small block m with respect to ground is (all the surface are smooth):A. gB. `g//2`C. ZeroD. `sqrt(2)g` |
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Answer» Correct Answer - a |
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| 44. |
A block is projected with an initial velocity `v_("Block")` on a long conveyor belt moving with velocity `v_("Block")` (at that instant)having constant acceleration `a_("Belt")`. Mark the correct option regarding friction after long time (friction coefficient between block and belt `= mu`). If : `{:(,"Column-1",,"Column-2"),("(A)",v_("Block")=2v_("Belt")and a_("Belt")=0,"(P)","zero"),("(B)",v_("block")=2v_("Belt")and a_("Belt")gt mug,"(Q)",f_(s)"static friction" (0 lt f_(s) lt f_(L))),("(C)",v_("Block")=2v_("Belt")and a_("Belt")=mug,"(R)",f_(L)"limiting friction"),("(D)",v_("Block")=2v_("Belt")and a_("Belt")lt mug,"(S)",f_(K) "kinetic friction"):}` |
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Answer» Correct Answer - A-P; B-S; C-R; D-Q |
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| 45. |
A block of mass 5 kg is dropped from top of a building. Then the mamiitude of force applied by the block on the earth whne falling is :A. 5 g N upwardsB. 5g N downwardsC. 5g N downwardsD. None of these |
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Answer» Correct Answer - a |
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| 46. |
A motorcycle moves around a vertical circle with a constants speed under the influence of the force of gravity `vec(W)`, friction between wheel and track `vec(f)` and normal reaction between wheel track `vec(N)` : `{:(,"Column-1",,"Column-2"),("(A)","Constant magnitude","(P)",vec(N)),("(B)","Directed towards centre when value in non-zero","(Q)",vec(N)+vec(f)),("(C)","Total reaction force by track","(R)",vec(f)+vec("w")),("(D)","When motion is along vertical the value is zero","(S)",vec(N)+vec("w")+vec(f)):}` |
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Answer» Correct Answer - A-S; B-P, S; C-Q; D-R |
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| 47. |
In a vertical disc two grooves are made as shown in figure. AB is a diameter. Two balls are dropped at A one in each groove, simultaneously. Then: A. Time to each at C is less than that to reach at BB. Time to reach at C is greater than that to reach at BC. Time to reach at C equal to that to reach at BD. The different in time to reach at C and to reach at B may be positive negative or zero depending on `alpha`. |
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Answer» Correct Answer - c |
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| 48. |
Two masses each equal to m are lying on x-axis at `(-a,0)(+a,0)` respectively as shown in figure They are connected by a light string A force F is applied at the origin along vertical direction As a result the masses move toward each other without loosing contact with ground What is the acceleration of each mass? Assume the instantanceous position of the masses as`(-x,0)`and `(x,0)`A. `(F)/(m) (sqrt(a^(2)-x^(2)))/(x)`B. `(Fx)/(2msqrt(a^(2)-x^(2)))`C. `(F)/(m) (x)/(sqrt(a^(2)-x^(2)))`D. `(F)/(m)sqrt((a^(2)-x^(2))/(x))` |
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Answer» Correct Answer - b |
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| 49. |
An ideal spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table to as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration `a` of the block and the distance `x` travelled by it (as long as the spring is compressed) isA. B. C. D. |
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Answer» Correct Answer - b |
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| 50. |
In the shown figure two beads slide along a smooth horizontal rod as shown in figure. The relation between v and `v_(0)` in the shown position will be A. `v = v_(0) cot theta`B. `v = v_(0) sin theta`C. `v = v_(0) tan theta`D. `v = v_(0) cos theta` |
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Answer» Correct Answer - a |
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