A satellite of mass ‘m’ is moving in a circular path of radius r around earth has areal velocity ‘A’. If the radius changes by 1%, what will be the change in its areal velocity?
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a
0.75%
b
2%
c
1.5%
d
0.5%
answer is D.
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Detailed Solution
A=L2m = mωr22m = 2πr22T = πr22kr3/2 As T α r3/2 ∴ A α r1/2 ∴ ΔAA=12. Δrr = 12 × 1%=0.5%.