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Physics

General

Easy

Question

Two bodies of masses m₁ and m_² are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual agravitational attraction Their relative velocity of approach at separation distance r between them is

${[\frac{2 G (m_{1} - m_{2})}{r}]}^{- \frac{1}{2}}$
${[\frac{2 G (m_{1} + m_{2})}{r}]}^{\frac{1}{2}}$
${[\frac{r}{2 G m_{1} m_{2}}]}^{\frac{1}{2}}$
${[\frac{2 G m_{1} m_{2}}{r}]}^{\frac{1}{2}}$

The correct answer is: $open square brackets fraction numerator 2 G open parentheses m subscript 1 plus m subscript 2 close parentheses over denominator r end fraction close square brackets to the power of 1 half end exponent$

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