Question

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

• A. $( r_1 / r_2)^2$
• B. $( r_2 / r_1)$
• C. $( r_2 / r_1) ^2$
• D. $( r_1 / r_2)$

Answer 1

Answer: (B)

$( r_2 / r_1)$

Answer 2

$V_{1} r _{1}= V _{2} r _{2}$
$\frac{ V _{1}}{ V _{2}}=\frac{ r _{2}}{ r _{1}}$