Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 11

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Question 1
4 / -1

Assertion (A) The angular momentum under a central force is constant.
Reason (R) Inverse square law of force is conservative.

A
Both A and R are correct and R is the correct explanation of A

B
Both A and R are true and R is not a correct explanation of A

C
A is true but R is false

D
A is false but R is true
Question 2
4 / -1

A door 1.6 m wide requires a force of 1 N to be applied at the free end to open or close it. The force that is required at a point 0.4 m distance from the hinges for opening or closing the door is

A
1.2 N

B
3.6 N

C
2.4 N

D
4 N

Solution
Question 3
4 / -1

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

A
96 h

B
48 h

C
6 h

D
1.5 h

Solution
Question 4
4 / -1

A solid sphere is rotating in free space. If the radius of sphere is increased keeping mass same which one of the following will not be affected ?

A
Angular velocity

B
Angular momentum

C
Moment of inertia

D
Rotational kinetic energy

Solution
Question 5
4 / -1

A constant torque acting on a uniform circular wheel changes its angular momentum from A₀ to 4 A₀ in 4 s. The magnitude of this torque is

A

B

C

D

Solution
Question 6
4 / -1

A particle is projected with a speed v at 45° with the horizontal. The magnitude of angular momentum of the projectile about the point of projection, when the particle is at its maximum height h is

A
zero

B

C

D

Solution
Question 7
4 / -1

Angular momentum of the particle rotating with a central force is constant due to

A
constant force

B
constant linear momentum

C
zero torque

D
constant torque
Question 8
4 / -1

A mass m is moving with a constant velocity along a line parallel to x–axis. Its angular momentum with respect to origin on z–axis is

A
zero

B
remains constant

C
goes on increasing

D
goes on decreasing

Solution
Question 9
4 / -1

A couple produces

A
no motion

B
linear and rotational motion

C
purely rotational motion

D
purely linear motion
Question 10
4 / -1

A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. Find the torque

A
50 N – m

B
150 N – m

C
75 N – m

D
39 N – m

Solution