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 energy
Column 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

Moderate

Solution

Torque, $τ = 0$
$∴$ L = constant, $K = \frac{L^{2}}{2 I} and I ω = constant.$ The insect first moves away from the axis, then towards it. Hence, I will first increase and then decrease.

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