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NEET 2011 (AIPMT, Prelims) · Kepler's Laws & Planetary Motion

Kepler's Laws & Planetary Motion question from NEET 2011 (AIPMT, Prelims)

Q27NEET 2011 · AIPMT · PRELIMSEasy

Kepler's Laws & Planetary Motion

A planet moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance of r2. If $v$ 1 and $v$ 2 are the linear velocities at these points respectively, then the ratio $\frac{v_1}{v_2}$ is

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Answer: (b)

At the nearest and farthest points velocity is perpendicular to the radius, so angular momentum gives $mv_1r_1 = mv_2r_2$ .
$\dfrac{v_1}{v_2} = \dfrac{r_2}{r_1}$
So the answer is (b) $r_2/r_1$ .

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