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A uniform metallic rod rotates about its perpendicular bisector with constant angular speed. If it is heated uniformly to raise its temperature slightly

a) its speed of rotation increases

b) its speed of rotation decreases

c) its speed of rotation remains same

d) its speed increases because its moment of inertia increases

Answers (1)

The answer is the option (b) its speed of rotation decreases.

Explanation: The moment of inertia of a uniform rod will increase from I1 to I2 on heating, also, the length of the rod will also increase. I1<I2.

I_{1}{1}\omega _{1} = I_{2}\omega _{2}      …. (according to the law of conservation of angular momentum)

Since I_{1} < I_{2},

\omega _{1} > \omega _{2}

 Thus the angular speed decreases.

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