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The masses and radii of the earth an moo...

The masses and radii of the earth an moon are `M_(1) and R_(1) and M_(2), R_(2)` respectively. Their centres are at a distacne r apart. Find the minimum speed with which the particle of mass m should be projected from a point mid-way between the two centres so as to escape to infinity.

A

`sqrt((4G(M_(1)+M_(2)))/d)`

B

`sqrt((4G)/d (M_(1)M_(2))/((M_(1)+M_(2))))`

C

`sqrt((2G)/d ((M_(1)+M_(2))/(M_(1)M_(2))))`

D

`sqrt((2G)/d (M_(1)+M_(2)))`

Text Solution

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The correct Answer is:
A
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