A planet moves around sun. At a given point P , it is closest from sun at a distance {d₁} and has

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7.Gravitation

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A planet moves around the sun. At a given point $P$, it is closest from the sun at a distance ${d_1}$ and has a speed ${v_1}$. At another point $ Q$, when it is farthest from the sun at a distance ${d_2}$, its speed will be

A

$\frac{{d_1^2{v_1}}}{{d_2^2}}$

B

$\frac{{{d_2}{v_1}}}{{{d_1}}}$

C

$\frac{{{d_1}{v_1}}}{{{d_2}}}$

D

$\frac{{d_2^2{v_1}}}{{d_1^2}}$

Solution

(c) Angular momentum remains constant

$m{v_1}{d_1} = m{v_2}{d_2}\, \Rightarrow \,{v_2} = \frac{{{v_1}{d_1}}}{{{d_2}}}$

Standard 11

Physics

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