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]

Question

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]

TuteeHUB · Accepted Answer

$${{\left[ \frac{r}{2G({{m}_{1}}{{m}_{2}})} \right]}^{1/2}}$$

TuteeHUB · Answer

$${{\left[ 2G\frac{({{m}_{1}}-{{m}_{2}})}{r} \right]}^{1/2}}$$

TuteeHUB · Answer

$${{\left[ \frac{2G}{r}({{m}_{1}}+{{m}_{2}} \right]}^{1/2}}$$

TuteeHUB · Answer

$${{\left[ \frac{2G}{r}{{m}_{1}}{{m}_{2}} \right]}^{1/2}}$$

1.	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]
A.	\[{{\left[ 2G\frac{({{m}_{1}}-{{m}_{2}})}{r} \right]}^{1/2}}\]
B.	\[{{\left[ \frac{2G}{r}({{m}_{1}}+{{m}_{2}} \right]}^{1/2}}\]
C.	\[{{\left[ \frac{r}{2G({{m}_{1}}{{m}_{2}})} \right]}^{1/2}}\]
D.	\[{{\left[ \frac{2G}{r}{{m}_{1}}{{m}_{2}} \right]}^{1/2}}\]
Answer» C. \[{{\left[ \frac{r}{2G({{m}_{1}}{{m}_{2}})} \right]}^{1/2}}\]

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]

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