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A solid sphere is rotating about an axis...

A solid sphere is rotating about an axis shown in figure. An insect follows the dotted path on the circumference of sphere as shown in the figure.

`{:(,"Column-I",,"Column-II"),("(A)","Moment of inertia","(p)","Will remain constant"),("(B)","Angular velocity","(q)","Will first increase, then decrease"),("(C)","Angular momentum","(r)","Will first decrease then increase"),("(D)","Rotational kinetic energy","(s)","Will continuously decrease"),(,,"(t)","Will continuously increase"):}`

Text Solution

Verified by Experts

The correct Answer is:
`(A rarr q,B rarr r,C rarr p,D rarr r)`

Torque, `tau = 0`
`:.` L = constant, `K = (L^(2))/(2I)` and `I omega=` constant. Insect first moves away from the axis, then towards it. Hence, `I` will first increase and then decrease.
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