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Two bodies of masses m₁ and m₂ are initially at rest at infinite distance apart

Two bodies of masses m₁ and m₂ are initially at rest at infinite distance apart.They are then allowed to move towards each other under mutual gravitational attraction with the escape velocity .Their relative velocity of approach at a separation distance r between them is

Options

(a) [2 G(m₁- m₂ )/r]¹/²
(b) [2 G(m₁+m₂ )/r]¹/²
(c) [r/2G(m₁m₂)]¹/²
(d) [2G / r(m₁m₂)]¹/²

Correct Answer:

[2 G(m₁+m₂ )/r]¹/²

Explanation:

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