Quiz about CIRCULAR IN GENERAL AWARENESS

Question 1

A mass m moving with a constant velocity along a line parallel to the axis away from the origin. Its anguarl momentum with respect to the originA. is zero when it is verticalB. remain constantC. goes on increasingD. goes on decreasing

Accepted Answer

NA

Question 2

The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces isA. `12`B. `23`C. `34`D. `35`

Accepted Answer

NA

Question 3

A man spinning in free space changes the shape of his body eg. By spreading his arms or curling up. By doing this he can change his.A. moment of inertiaB. angular momentumC. angular velocityD. rotational kinetic energy

Accepted Answer

NA

Question 4

In the previous question the angular frequency of the simple harmonic motion is `omega`. The coefficient of friction between the coin and the platform is `mu`. The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time (i) at the extreme positions of oscillations (ii) at the mean position (iii) for an amplitude of `(mug)(omega^2)` (iv) for an amplitude of `(g)(muomega^2)`A. at the extreme position of oscillationB. at the mean positionC. for an amplitude of `mugomega^(2)`D. for an amplitude of `gmuomega^(2)`

Accepted Answer

NA

Question 5

A man standing on a platform holds weights in his outstretched arms. The system is rotated about a central vertical axis. If the man now pulls the weights inwards close to his body thenA. the angular velocity of the system will increaseB. the angular momentum of the system will decreaseC. the kinetic energy of the system will increaseD. he will have to expand some energy to draw the weights in

Accepted Answer

NA

Question 6

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency `omega`. The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first timeA. at the highest position of the platformB. at the mean position of the platformC. for an amplitude of `gomega^(2)`D. for an amplitude of `sqrt(g) omega`

Accepted Answer

NA

Question 7

A particle of mass m is fixed to me one end of a light right rod of length l and rotated in a vertical circular path about its other end. The minmum speed of the particle at its highest point must beA. zeroB. `sqrt(gl)`C. `sqrt(1.5gl)`D. `sqrt(2gl)`

Accepted Answer

NA

Question 8

A spring block system undergoes SHM on a smooth horizontal surface the block is now given some charge and a uniform horizontal electric field E is switched on as shown in Fig. As a resultA. the time period of oscillation will increaseB. the time period of oscillation will decreaseC. the time period of oscillation will remain unaffectedD. the mean position of simple harmonic motion will shift to the right

Accepted Answer

NA

Question 9

A simple pendulum has a time period T. The bob is now given some positive charge – (1) If some positive charge is placed at the point of suspension T will increases (2) If some positive charge is placed at the point of suspension T will not change (3) If a uniform downward electric field is switched on T will increase (4) If a uniform downward electric field is switched on T will decreaseA. If some positive charge is placed at the point of suspension T will increase.B. If some positive charge is placed at the point of suspension T will not changeC. If a uniform downward electric field is switched on T will increase.D. If a uniform downward electric field is switched on T will decrease.

Accepted Answer

NA

Question 10

There are some passeger inside a stationary railway compartment. The centre of mass of the compartment itself (without the passngers) is `C_(1)` while the centre of mass of the compartment plus passengers system is `C_(2)` if passenger move about inside the comparmentA. both `C_(1)` and `C_(2)` will move with respect to the groudB. neither `C_(1)` nor `C_(2)` will move with respect to the groundC. `C_(1)` will move but `C_(2)` will be stationary with respect to the groundD. `C_(2)` will move but `C_(1)` will be stationary with respect to the ground

Accepted Answer

NA

Question 11

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 with speed v will not slip on the roadB. a car is more likely to slip on the road at speed lower higher than v than at speeds lower thanC. a car is more likely to slip on the road at speed lower higher than v than at speeds higher thanD. a car can remain stationary on the road without slipping

Accepted Answer

NA

Question 12

A simple pendulum of length l is set in motion such that the bob of mass m moves along a horizontal circualar path and the string makes a constant angle `theta` with the vertical. The time period of rotation of the bob is l and the tension in the thread is TA. `t=2pisqrt(lg)`B. `t=2pisqrt(lcosthetag)`C. `T=(4pi^(2)ml)(t^(2))`D. The bob is in equilibrium

Accepted Answer

NA

Question 13

A railway track is banked for a speed v by making the height of the outer rail h higher than that of the inner rail. The distance between the rails is d. The radius of the curvature of the track is rA. `(h)(d)=(v^(2))(rg)`B. `tan(sin^(-)(h)(d))=(v^(2))(rt)`C. `tan^(-1)((h)(d))=((v^(2))(rg))`D. `(h)(r)=(v^(2))(dg)`

Accepted Answer

NA

Question 14

When a car negotiates a curve the normal force exerted on the inner and outer wheels are `N_(2)` and `N_(1)` respectively. Then `N_(1)N_(2)` isA. `N_(1)` is always greater than `N_(2)`B. `N_(2)` is always equal to `N_(2)`C. `N_(1)` is always equal to `N_(2)`D. Either (a) or (b) depending on the car and the radius curvature of the road.

Accepted Answer

NA

Question 15

In gravity free space a particle is in constant with the inner surface of a hallow cylinder and moves in a circular path along the surface. There is some friction between the particles and the surface. The retardation of the particle is A. zeroB. independent of its celocityC. proportional to its velocityD. proportional to the square of its velocity

Accepted Answer

NA

Question 16

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  A. always be in contact with the inner wall of the tubeB. always be in contact the outer wall of the tubeC. intially be in contant with the inner wall and later with the outer wallD. intially be in contact with the and later with the inner wall

Accepted Answer

NA

Question 17

If radius of the earth contracts to half of its present value without change in its mass what will be the new duration of the day?A. 6hB. 12hC. 48hD. 96h

Accepted Answer

NA

Question 18

The radius of gyration of a solid shapere of radius r about a certain axis is r. The distance of this axis from the centre of the shpere isA. remain stationaryB. 0.5rC. `sqrt(0.6)r`D. `sqrt(0.4)r`

Accepted Answer

NA

Question 19

A square plate lies in the xy plane with its centre at the origin and its edges parallel to the x and y axes. Its moments of inertia about the x y and z axes are `I_(x) I_(y)` and `I_(Z)` respectively and about a diagonal it is `I_(D)`A. `I_(x)=I_(y)=(1)(2)I_(z)`B. `I_(x)=I_(y)=2I_(z)`C. `I_(D)+I_(X)`D. `I_(D)=I_(z)`

Accepted Answer

NA

Question 20

The density of a rod AB increases linearly from A to B its midpoint is O and its centre of mass is at C. four axes pass through A B O and C all perpendicular to the length of the rod. The moment of inertial of the rod about these axes are `I_(A) I_(B) I_(O)` and `I_(C)` respectively.A. `I_(A)gtI_(B)`B. `I_(A)ltI_(B)`C. `I_(0)gtI_(C)`D. `I_(0)ltI_(C)`

Accepted Answer

NA

Question 21

Two horizontal discs of different radii are free to rotate about their central vertical axes One is given some angular velocity the other is stationary. Their rims arc now brought in contact. There is friction between the rims. ThenA. The force of friction between the rims will disappear when the discs rotate with equal angular speeds.B. The force of friction between the rims will disappear when they have equal linear velocitiesC. The angular momentum of the system will be conserved.D. The rotational kinetic energy of the system will not be conserved

Accepted Answer

NA

Question 22

Two identical spheres `A` and `B` are free to move and I rotate about their centres. They are given the same impel `J`. The lines of action of the impulses pass through tht centre of `A` and away from the centre of `B` thenA. A and B will have the same speedB. B will have greater kinetic energy than A.C. They will have the same kinetic energy but the linear kinetic energy of B will be less then that of AD. The kinetic enrgy of B will depend on the point of impact of the impulse on B

Accepted Answer

NA

Question 23

A solid sphere starts from rest at the top of an incline of height h and length l and moves down. The force of friction between the sphere and the incline is F. This is insufficient to prevent slipping. The kinetic energy of the sphere at the bottom of the incline is W.A. The work done against the force of friction is Fl.B. The heat produced is Fl.C. W=mgh-FlD. `Wgt(mgh-Fl)`

Accepted Answer

NA

Question 24

A strick is thrown in the air and lands on the ground at some distance from the centre of mass of the stick will move along a paranolic pathA. in all casesB. only if the stick is uniformC. only if the stick has linear motion but no rotational motionD. only if the stick has a shape such that its centre of mass is located at some point on it and not outside it

Accepted Answer

NA

Question 25

Three identical solid spheres move down three incline `A B` and `C` are all of the same dimensions. A is without friction the friction between `B` and a sphere is sufficient to cause rolling without slipping the friction between `C` and a sphere causes rolling with slipping. The kinetic energies of `A B C` at the bottom of the inclines are `E_(A)E_(B)E_(C)`.A. `E_(A)=E_(B)=E_(C)`B. `E_(A)=E_(B)gtE_(C)`C. `E_(A)gtE_(B)gtE_(C)`D. `E_(A)gtE_(B)=E_(C)`

Accepted Answer

NA

Question 26

The motion of a sphere moving on a rough horizontal surface changes from pure sliding (without rolling) to pure rolling (without slipping). In this process the force of friction (`i`) intially acts opposite to the direction of motion and late in the direction of motion (`ii`) cause linear retardation (`iii`) causes angular acceleration (`iv`) stops acting when pure rolling beginsA. initially acts opposite to the direction of motion and later in the direction of motionB. causes linear retardationC. causes angular accelerationD. stops acting when pure rolling begins

Accepted Answer

NA

Question 27

For a system to be in equilibrium the torques acting on it must balance. This is true only if the torques are taken aboutA. the centre of the systemB. the centre of mass of the systemC. any point on the systemD. any point on the system or outside it

Accepted Answer

NA

Question 28

When slightly different weights are placed on the two pans of a beam balance the beam comes to rest at an angle with the horizontal. The beam is supported at a single point P by a pivot.A. The net torque about P due to the two weights is nonzero at the equilibrium position .B. The whole system does not continue to rotate about P because it has a large moment of inertia.C. The centre of mass of the system lies below P .D. The centre of mass of the system lies above P.

Accepted Answer

NA

Question 29

In the figure the blocks have unequal masses `m_(1) and m_(2)(m_(1)gtm_(2)). m_(1)` has a downward acceleration a . The pulley P has a radius r and some mass. The string does not slip on the pulley.A. The two sections of the string have unequal tensions.B. The two blocks have acceleration of equal magnitude.C. The angular acceleration of P is ar.D. `alt((m_(1)-m_(2))(m_1)+m_(2))`

Accepted Answer

NA

Question 30

A disc of circumference `s` is at rest at a point `A` on a horizontal surface when a constant horizontal force begins to act on its centre. Between `A` and `B` there is sufficient friction toprevent slipping and the surface is smooth to the right of `B.AB = s`. The disc moves from `A` to `B` in time `T`. To the right of `B` .A. the angular acceleration of the disc will disappear linear acceleration will remain unchangedB. linear acceleration of the disc will increaseC. the disc will make one rotation in time T2D. the disc will cover a distance greater than s in a further time T.

Accepted Answer

NA

Question 31

A ring (`R`) a disc (`D`) a solid sphere (`S`) and a hollow sphere with thin walls (`H`) all having the same mass but different radii start together from rest at the top of inclined plane and roll down without slipping. ThenA. All of them will reach the bottom of the inclined together.B. The body with the maximum radius will reach the bottom first.C. They will reach the bottom in the order S D HR.D. All of them will have the same kinetic energy at the bottom of the imcline.

Accepted Answer

NA

Question 32

In the figure the disc `D` does not slip on the surface `S` the pulley `P` has mass and the string does not slip on it. The string is wound around the disc. A. The acceleration of the block B is doubled the acceleration of the centre of D.B. The force of friction exerted by D on S acts to the left.C. The horizontal and the vertical sections of the string have the same tension.D. The sum of the kinetic energies of D and B is less than the loss in the potential energy of B as it moves down.

Accepted Answer

NA

Question 33

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration `a_(c)` is varying with time t as `a_(c) = k^(2)rt^(2)` where k is a constant. The power delivered to the particle by the forces acting on it is A. `2pimk^(2)r^(2)t`B. `mk^(2)r^(2)t`C. `(1)(3)mk^(4)r^(2)t^(5)`D. 0

Accepted Answer

NA

Explore topic-wise InterviewSolutions in Current Affairs.

A mass m moving with a constant velocity along a line parallel to the axis, away from the origin. Its anguarl momentum with respect to the originA. is zero when it is verticalB. remain constantC. goes on increasingD. goes on decreasing

The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is:A. `1:2`B. `2:3`C. `3:4`D. `3:5`

A man spinning in free space changes the shape of his body, eg. By spreading his arms or curling up. By doing this, he can change his.A. moment of inertiaB. angular momentumC. angular velocityD. rotational kinetic energy

A particle of mass m is fixed to me one end of a light right rod of length l and rotated in a vertical circular path about its other end. The minmum speed of the particle at its highest point must beA. zeroB. `sqrt(gl)`C. `sqrt(1.5gl)`D. `sqrt(2gl)`

If radius of the earth contracts to half of its present value without change in its mass, what will be the new duration of the day?A. 6hB. 12hC. 48hD. 96h

The radius of gyration of a solid shapere of radius r about a certain axis is r. The distance of this axis from the centre of the shpere isA. remain stationaryB. 0.5rC. `sqrt(0.6)r`D. `sqrt(0.4)r`

For a system to be in equilibrium, the torques acting on it must balance. This is true only if the torques are taken aboutA. the centre of the systemB. the centre of mass of the systemC. any point on the systemD. any point on the system or outside it

1.	A mass m moving with a constant velocity along a line parallel to the axis, away from the origin. Its anguarl momentum with respect to the originA. is zero when it is verticalB. remain constantC. goes on increasingD. goes on decreasing
Answer» Correct Answer - b

2.	The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is:A. `1:2`B. `2:3`C. `3:4`D. `3:5`
Answer» Correct Answer - d

3.	A man spinning in free space changes the shape of his body, eg. By spreading his arms or curling up. By doing this, he can change his.A. moment of inertiaB. angular momentumC. angular velocityD. rotational kinetic energy
Answer» Correct Answer - a, c, d

4.	In the previous question, the angular frequency of the simple harmonic motion is `omega`. The coefficient of friction between the coin and the platform is `mu`. The amplitude of oscillation is gradually increased. The coin will begin to slip on the platform for the first time (i) at the extreme positions of oscillations (ii) at the mean position (iii) for an amplitude of `(mug)/(omega^2)` (iv) for an amplitude of `(g)/(muomega^2)`A. at the extreme position of oscillationB. at the mean positionC. for an amplitude of `mug//omega^(2)`D. for an amplitude of `g//muomega^(2)`
Answer» Correct Answer - a, c

7.	A particle of mass m is fixed to me one end of a light right rod of length l and rotated in a vertical circular path about its other end. The minmum speed of the particle at its highest point must beA. zeroB. `sqrt(gl)`C. `sqrt(1.5gl)`D. `sqrt(2gl)`
Answer» Correct Answer - a

8.	A spring block system undergoes SHM on a smooth horizontal surface, the block is now given some charge and a uniform horizontal electric field E is switched on as shown in Fig. As a resultA. the time period of oscillation will increaseB. the time period of oscillation will decreaseC. the time period of oscillation will remain unaffectedD. the mean position of simple harmonic motion will shift to the right
Answer» Correct Answer - c, d

9.	A simple pendulum has a time period T. The bob is now given some positive charge – (1) If some positive charge is placed at the point of suspension, T will increases (2) If some positive charge is placed at the point of suspension, T will not change (3) If a uniform downward electric field is switched on, T will increase (4) If a uniform downward electric field is switched on, T will decreaseA. If some positive charge is placed at the point of suspension, T will increase.B. If some positive charge is placed at the point of suspension, T will not changeC. If a uniform downward electric field is switched on , T will increase.D. If a uniform downward electric field is switched on , T will decrease.
Answer» Correct Answer - b, d

10.	There are some passeger inside a stationary railway compartment. The centre of mass of the compartment itself (without the passngers) is `C_(1)` while the centre of mass of the compartment plus passengers system is `C_(2)` if passenger move about inside the comparmentA. both `C_(1)` and `C_(2)` will move with respect to the groudB. neither `C_(1)` nor `C_(2)` will move with respect to the groundC. `C_(1)` will move but `C_(2)` will be stationary with respect to the groundD. `C_(2)` will move but `C_(1)` will be stationary with respect to the ground
Answer» Correct Answer - c

12.	A simple pendulum of length l is set in motion such that the bob, of mass m, moves along a horizontal circualar path , and the string makes a constant angle `theta` with the vertical. The time period of rotation of the bob is l and the tension in the thread is TA. `t=2pisqrt(l//g)`B. `t=2pisqrt(lcostheta//g)`C. `T=(4pi^(2)ml)/(t^(2))`D. The bob is in equilibrium
Answer» Correct Answer - b, c

13.	A railway track is banked for a speed v, by making the height of the outer rail h higher than that of the inner rail. The distance between the rails is d. The radius of the curvature of the track is rA. `(h)/(d)=(v^(2))/(rg)`B. `tan(sin^(-)(h)/(d))=(v^(2))/(rt)`C. `tan^(-1)((h)/(d))=((v^(2))/(rg))`D. `(h)/(r)=(v^(2))/(dg)`
Answer» Correct Answer - b

14.	When a car negotiates a curve, the normal force exerted on the inner and outer wheels are `N_(2)` and `N_(1)` respectively. Then `N_(1)//N_(2)` isA. `N_(1)` is always greater than `N_(2)`B. `N_(2)` is always equal to `N_(2)`C. `N_(1)` is always equal to `N_(2)`D. Either (a) or (b) depending on the car and the radius curvature of the road.
Answer» Correct Answer - b

15.	In gravity free space, a particle is in constant with the inner surface of a hallow cylinder and moves in a circular path along the surface. There is some friction between the particles and the surface. The retardation of the particle is :A. zeroB. independent of its celocityC. proportional to its velocityD. proportional to the square of its velocity
Answer» Correct Answer - d

22.	Two identical spheres `A` and `B` are free to move and I, rotate about their centres. They are given the same impel `J`. The lines of action of the impulses pass through tht centre of `A` and away from the centre of `B`, thenA. A and B will have the same speedB. B will have greater kinetic energy than A.C. They will have the same kinetic energy , but the linear kinetic energy of B will be less then that of AD. The kinetic enrgy of B will depend on the point of impact of the impulse on B
Answer» Correct Answer - a, b, d

23.	A solid sphere starts from rest at the top of an incline of height h and length l, and moves down. The force of friction between the sphere and the incline is F. This is insufficient to prevent slipping. The kinetic energy of the sphere at the bottom of the incline is W.A. The work done against the force of friction is Fl.B. The heat produced is Fl.C. W=mgh-FlD. `Wgt("mgh-Fl")`
Answer» Correct Answer - a, d

26.	The motion of a sphere moving on a rough horizontal surface changes from pure sliding (without rolling) to pure rolling (without slipping). In this process, the force of friction (`i`) intially acts opposite to the direction of motion and late in the direction of motion (`ii`) cause linear retardation (`iii`) causes angular acceleration (`iv`) stops acting when pure rolling beginsA. initially acts opposite to the direction of motion and later in the direction of motionB. causes linear retardationC. causes angular accelerationD. stops acting when pure rolling begins
Answer» Correct Answer - b, c, d

29.	In the figure, the blocks have unequal masses `m_(1) " and " m_(2)(m_(1)gtm_(2)). m_(1)` has a downward acceleration a . The pulley P has a radius r, and some mass. The string does not slip on the pulley.A. The two sections of the string have unequal tensions.B. The two blocks have acceleration of equal magnitude.C. The angular acceleration of P is a/r.D. `alt((m_(1)-m_(2))/(m_1)+m_(2))`
Answer» Correct Answer - a, b, c, d

31.	A ring (`R`), a disc (`D`), a solid sphere (`S`) and a hollow sphere with thin walls (`H`), all having the same mass but different radii, start together from rest at the top of inclined plane and roll down without slipping. ThenA. All of them will reach the bottom of the inclined together.B. The body with the maximum radius will reach the bottom first.C. They will reach the bottom in the order S, D, H,R.D. All of them will have the same kinetic energy at the bottom of the imcline.
Answer» Correct Answer - a, d

32.	In the figure, the disc `D` does not slip on the surface `S`, the pulley `P` has mass and the string does not slip on it. The string is wound around the disc. A. The acceleration of the block B is doubled the acceleration of the centre of D.B. The force of friction exerted by D on S acts to the left.C. The horizontal and the vertical sections of the string have the same tension.D. The sum of the kinetic energies of D and B is less than the loss in the potential energy of B as it moves down.
Answer» Correct Answer - a, c, d