Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 87

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Question 1
4 / -1

Moment of inertia of a sphere of mass M and radius R is I. keeping mass constant if graph is plotted between I and R then its form would be.

A

B

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D

Solution
Question 2
4 / -1

According to the theorem of parallel axis I = I_cm + md² the graph between I → d will be

A

B

C

D
Question 3
4 / -1

The graphs between angular momentum L and angular velocity w will be.

A

B

C

D
Question 4
4 / -1

The graphs between loge L and loge P is ____ where L is angular momentum and P is linear momentum

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B

C

D

Solution
Question 5
4 / -1

Let E_r is the rotational kinetic energy and L is angular momentum then the graph between Loge^Er and loge^L can be

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B

C

D

Solution
Question 6
4 / -1

Statement – 1 — If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant.
Statement – 2 — The Linear momentum of an isolated system remains constant.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true

Solution
Question 7
4 / -1

Statement – 1 —Two cylinder one hollow and other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow will reach the bottom of inclined plane first.
Statement – 2 — By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.

A
Statement – 1 is correct (true), Statement – 2 is true and Statement – 2 is correct explanation for Statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation four statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 2 is false, statement – 2 is true

Solution
Question 8
4 / -1

A Solid sphere of mass M and radius R is released from rest at the top of a frictionless inclined plane of length \'d\' and inclination ?.
In case (a) it rolls down the plane without slipping and in case (b) it slides down the plane
The ratio of the velocity of the spheres when it reaches the bottom of the plane in case (a) to that in case (b) is

A

B

C

D

Solution
Question 9
4 / -1

A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The acceleration of the centre of mass of the disc is

A

B

C

D

Solution
Question 10
4 / -1

A uniform disc of mass M and radius R rolls without slipping down a plane inclined at an angle θ with the horizontal.
The frictional force on the disc is

A

B

C

D
None

Solution