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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

`(v_(p)-v_(a))/(v_(p)+v_(a))`

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

Verified by Experts

The correct Answer is:
A
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