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System of Particles and Rotational Motion question bank (Physics)

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Q1.

If the earth suddenly contracts to $(1/3)^{rd}$ of its present size without any change in its mass, the ratio of the kinetic energy of the earth after and before contraction will be (Earth is assumed to be a rotating sphere about itself).

(A)

$9$

(B)

$1/9$

(C)

$3$

(D)

$1/3$

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Q2.

The angular momentum of a rotating body is $L$. When the frequency of the rotating body is tripled and its kinetic energy is made one-third, the new angular momentum becomes:

(A)

$L/9$

(B)

$L/3$

(C)

$L$

(D)

$3L$

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