Earth moves around Sun in an elliptical orbit as shown in figure.ratio OA/OB = x . ratio of speed of

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7.Gravitation

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The earth moves around the Sun in an elliptical orbit as shown in figure.The ratio $OA/OB = x$ . The ratio of the speed of the earth at $B$ to that at $A$ is nearly

A

$\sqrt x$

B

$x$

C

$x \sqrt x$

D

$x^2$

Solution

Applying conservation of angular momentum at position $\mathrm{A}$ and $\mathrm{B}$

$\mathrm{mv}_{\mathrm{A}} \times \mathrm{OA}=\mathrm{mv}_{\mathrm{B}} \times \mathrm{OB}$

Hence, $\frac{\mathrm{v}_{\mathrm{B}}}{\mathrm{v}_{\mathrm{A}}}=\frac{\mathrm{OA}}{\mathrm{OB}}=\mathrm{x}$

Standard 11

Physics

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