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Two particles of masses m and M are init...

Two particles of masses m and M are initially at rest at an infinite distance apart. They move towards each other and gain speeds due to gravitational attraction. Find their speeds when the separation between the masses becomes equal to d.

A

`v_(1) =m_(2) sqrt((2G)/m_(1)), v_(2)=m_(1)sqrt((2G)/m_(2))`

B

`v_(1)=m_(1)sqrt((2G)/(d(m_(1)+m_(2)))),v_(2) = m_(2) sqrt((2G)/(d(m_(1)+m_(2))))`

C

`v_(1)=v_(2)`

D

`v_(1)=m_(2)sqrt((2G)/(d(m_(1)+m_(2)))), v_(2)=m_(1)sqrt((2G)/(d(m_(1)+m_(2))))`

Text Solution

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The correct Answer is:
D
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