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A small asteroid is orbiting around the ...

A small asteroid is orbiting around the sun in a circular orbit of radius `r_(0)` with speed `V_(0)`. A rocket is launched from the asteroid with speed `V = alpha V_(0)` , where V is the speed relative to the sun. The highest value of `alpha` for which the rocket will remain bound to the solar system is (ignoring gravity due to the asteroid and effects of other planets) –

A

`sqrt(2)`

B

2

C

`sqrt(3)`

D

1

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The correct Answer is:
D
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