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A small satellite of mass m is revolving...

A small satellite of mass m is revolving around earth in a circular orbit of radius `r_(0)` with speed `v_(0)` . At certain point of its orbit, the direction of motion of satellite is suddenly changed by angle `theta = cos^(-1) `(3/5) by turning its velocity vector , such that speed remains constant. The satellite consequently goes to elliptical orbit around earth. the ratio of speed at perigee to speed at apogee is

A

3

B

9

C

`1//3`

D

`1//9`

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The correct Answer is:
B
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