# By keeping moment of inertia of a body is constant, if we double the time period, then angular momentum of body is Option 1) Remains constant Option 2) Doubles Option 3) Becomes half Option 4) Quadruples

As we learnt in

Law of conservation of angular moment -

$\vec{\tau }= \frac{\vec{dL}}{{dt}}$

- wherein

If net torque is zero

i.e. $\frac{\vec{dL}}{{dt}}= 0$

$\vec{L}= constant$

angular momentum is conserved only when external torque is zero .

Becomes half.

Option 1)

Remains constant

Incorrect

Option 2)

Doubles

Incorrect

Option 3)

Becomes half

Correct

Option 4)

Incorrect

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