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Questions  

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?

a
0.75%
b
2%
c
1.5%
d
0.5%

detailed solution

Correct option is D

A=L2m = mωr22m = 2πr22T =  πr22kr3/2 As  T α r3/2  ∴    A  α  r1/2  ∴   ΔAA=12.  Δrr =  12  ×  1%=0.5%.

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