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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))])`

B

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

C

`sqrt(((2G(m_(1) m_(2)))/(d)))`

D

`sqrt(((2Gd)/(m_(1) + m_(2))))`

Text Solution

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The correct Answer is:
B
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