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Q.

A solid sphere is rotating about an axis as shown in figure. An insect follows the dotted path on the circumference of sphere as shown in the figure.Then, match the following columns and mark the correct option from the codes given below.Column I(A)  Moment of inertia(B) Angular velocity(C) Angular momentum(D) Ratational kinetic energyColumn II(p)   will remain constant(q) will first increase, then decrease(r) will first decrease, then increase(s)  will continuously decrease(t)  will continuously increase

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a

A  B  C  Dp  r  q  t

b

A  B  C  Ds  q  r p

c

A  B  C  Ds  t  r  p

d

A  B  C  Dq  r  p  r

answer is D.

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Detailed Solution

Torque,   τ=0∴  L = constant,  K=L22I and Iω= constant.  The insect first moves away from the axis, then towards it. Hence, I will first  increase and then decrease.
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A solid sphere is rotating about an axis as shown in figure. An insect follows the dotted path on the circumference of sphere as shown in the figure.Then, match the following columns and mark the correct option from the codes given below.Column I(A)  Moment of inertia(B) Angular velocity(C) Angular momentum(D) Ratational kinetic energyColumn II(p)   will remain constant(q) will first increase, then decrease(r) will first decrease, then increase(s)  will continuously decrease(t)  will continuously increase