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Q.

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 1%, its speed will

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a

Decrease by 1%

b

Decrease by 0.5%

c

Increase by 0.5%

d

Increase by 1%

answer is B.

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Detailed Solution

v∝1r.

% increase in speed = 12  (% decrease in radius)

                                 =12(1%)=0.5%

i.e. speed will increase by 0.5%

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