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Questions  

A man is spinning in the gravity free-space changes the shape of the body by spreading his arms. By doing this he can change his 

(a) moment of inertia
(b) angular momentum
(c) angular velocity
(d) rotational kinetic energy
Which one of the following are correct?

a
a, b and c
b
d, a and b
c
c, d and a
d
b, c and d

detailed solution

Correct option is C

Since net external torque on the man is zero, his angular momentum remains conserved.now Angular momentumL= Iω = ConstantWhen the man spreads out his hands, his moment of inertia I increases, hence ω decreases.Also rotation K.E = L2 / 2 I, So if I increases, K.E decreases.Hence, option - (3) is right.

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The moment of inertia (I) and the angular momentum (L) are related by the expression [J&K CET 2013]


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