Question

By keeping moment of inertia of a body constant if we double the time period then angular momentum of body id

Answer 1

the inertia of body don't change.

Answer 2

Answer: The angular momentum becomes half .

Explanation:

Given that,

Moment of inertia is constant,

We know that,

The angular momentum is the product of the moment of inertia and angular velocity.

The angular momentum of the body

$L = I\omega$

We know that,

The angular velocity is the inversely proportional of the time period.

The angular velocity is

$\omega = \dfrac{2\pi}{T}$

If we double the time period

therefore, the angular velocity will be half.

The angular momentum of body is

$L' = I\dfrac{\omega}{2}$

$L' = \dfrac{L}{2}$

Hence, The angular momentum of the body becomes half .