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Q.

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%.
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