If radius of earth is reduced to half without changing its mass, then match the following columns and markthe correct option from the codes given below.Column I (A) Angular velocity of earth(B) Time period of rotation of earth(C) Rotational kinetic energy of earthColumn II(p) will become two times(q) will become four times(r) will remain constant(s) None
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a
A B Cr s p
b
A B Cq r p
c
A B Cq s q
d
A B Cq p s
answer is C.
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Detailed Solution
L1=Iω=25MR2ωL2=25MR22ω'As, L1=L2⇒ω'=4ω∴ 2πT'=42πT⇒T=T4Further, K=L22ISince, angular momentum is constant and I has become (1/4)th.Therefore, kinetic energy will become 4 times.Hence, A→q,B→s,C→q