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Two bodies of masses m1 and m2 are init...

Two bodies of masses `m_1 and m_2` are initially at rest placed infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity when they are r distance apart is

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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