Question

Assertion (A): When a solid copper sphere and solid wooden sphere both

have same mass are spinning about their own axis with same angular

velocity then wooden sphere has greater angular momentum

Reason (R): Wood is less denser than copper so radius of wooden sphere is more than that of copper and so also moment of inertia.

• A. Both A and R are true and R is correct explanation of A
• B. Both A and R are true and R is not correct explanation of A
• C. A is true and R is false
• D. A is false and R is true

Answer 1

The correct option is A

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

Increase in moment of interia for a given for a given angular velocity will increase the angular momentum of the system
$\therefore L=I\omega$
$L\propto I[\therefore \omega =constant].$
$\therefore$ Both assertion and reason are true.