Question

Consider the following two statements A and B and identify the correct option:
A) When a rigid body is rotating about its own axis at a given instant, all particles of body possess same angular velocity.
B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis.

• A. A is true but B is false
• B. A is false but B is true
• C. Both A and B are true
• D. Both A and B are false

Answer 1

The correct option is C Both A and B are true

(A) If at a given instant two particles of a body have different angular velocity then both have different angular momentum, If this happens, then body will not be rigid.
(B) $v=r\omega (\omega$ is angular velocity of the body and r is the radial distance of the particle.) So, we have $v\propto r.$