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The radii of a planet and its satellite ...

The radii of a planet and its satellite are 2r and r and their densities are `rho` and `2rho` respectively. Their centres are separated by a distance d. The minimum speed with which a body should be projected from the mid point of the line joining their centres so that the body escapes to infinity is (G-universal gravitational constant)

A

`4[sqrt((10Gpir^3rho)/(3d))]`

B

`sqrt((40Gpir^3rho)/(3d))]`

C

`2[sqrt((10Gpir^3rho)/(d))]`

D

`1/4[sqrt((10Gpir^3rho)/(3d))]`

Text Solution

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The correct Answer is:
A
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