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Q.

A circular turn table rotates about its normal axis with uniform angular speed . A circular thick layer of ice and of radius much smaller than the table - top rotates along with the table. The new angular speed of the table when ice starts melting is

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a

large {omega}'>omega

b

large {omega}'<omega

c

large {omega}'=omega

d

any of (1), (2) or (3)

answer is B.

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Detailed Solution

From L.C.A.M; Iω = L = constant. $large Rightarrow omega proptofrac 1I$
As the ice melts, it takes the shape of a thin disc whose radius is gradually increasing. Since $large Ipropto r^2$ , angular velocity of the system gradually decreases. Hence option (2) is right.

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