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System of Particles and Rotational Motion question bank (Physics)

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Q1.

$A$ rotating body has angular momentum $L$. If its frequency is doubled and its kinetic energy is halved,what will be its new angular momentum?

(A)

$\frac{L}{4}$

(B)

$\frac{L}{2}$

(C)

$2L$

(D)

$4L$

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Q2.

An inclined plane makes an angle of $30^{\circ}$ with the horizontal. $A$ solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration ($g=$ acceleration due to gravity,$\sin 30^{\circ}=0.5$).

(A)

$\frac{2g}{3}$

(B)

$\frac{5g}{14}$

(C)

$\frac{g}{3}$

(D)

$\frac{5g}{7}$

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