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Two bodies of masses \( m_{1} \) and \( m_{2} \) are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance \( r \) between them is [BHU 1994; RPET 1999; AIIMS 2008]
(a) \( \left[2 G \frac{\left(m_{1}-m_{2}\right)}{r}\right]^{1 / 2} \)
(b) \( \left[\frac{2 G}{r}\left(m_{1}+m_{2}\right)\right]^{1 / 2} \)
(c) \( \left[\frac{r}{2 G\left(m_{1} m_{2}\right)}\right]^{1 / 2} \)
(d) \( \left[\frac{2 G}{r} m_{1} m_{2}\right]^{1 / 2} \)
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