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Q.

A satellite is revolving around earth in its equatorial plane with a period T. If the radius of earth suddenly shrinks to half its radius without change in the mass. Then, the new period of revolution will be

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a

$2 \sqrt{2 T}$

b

2T

c

T

d

8T

answer is D.

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Detailed Solution

$T = \frac{2}{\sqrt{G M}} {(r)}^{\frac{3}{2}}$

T is independent of R (radius of earth)

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