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Two bodies of mass m(1) and m(2) are ini...

Two bodies of mass `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 attaction. Show that their relative velocity of approach at separation r betweeen them is
`v=sqrt(2G(m_(1)+m_(2)))/(r)`

A

`sqrt((2G(m_1+m_2))/r)`

B

`sqrt((2Gm_1m_2)/((m_1+m_2)r))`

C

`sqrt((G(m_1+m_2))/r)`

D

`sqrt((Gm_1 m_2)/((m_1+m_2)r))`

Text Solution

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The correct Answer is:
A
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