Earth is moving around the sun in an elliptical orbit as shown. The ratio of OB and OA is R. Then the ratio of speed Earth at A and B is:

R^{- 1}

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\sqrt{R}

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R

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R^{2 / 3}

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Solution

The correct option is D $R$
Using conservation of angular momentum,
$L_{A} = L_{B}$
$m_{e} v_{A} R_{A} = m_{e} v_{B} R_{B}$
$\frac{v_{A}}{v_{B}} = \frac{R_{B}}{R_{A}} = R$

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Earth is moving around the sun in an elliptical orbit as shown. The ratio of OB and OA is R. Then the ratio of speed Earth at A and B is:

The correct option is D RUsing conservation of angular momentum,LA=LBmevARA=mevBRBvAvB=RBRA=R

The correct option is D $R$
Using conservation of angular momentum,
$L_{A} = L_{B}$
$m_{e} v_{A} R_{A} = m_{e} v_{B} R_{B}$
$\frac{v_{A}}{v_{B}} = \frac{R_{B}}{R_{A}} = R$