Question

The ratio of radii of two satellites is $p$ and the ratio of their acceleration due to gravity is $q$. The ratio of their escape velocities will be :

• A. $\left(\frac{ q }{ p }\right)^{1 / 2}$
• B. $\left(\frac{ p }{ q }\right)^{1 / 2}$
• C. $pq$
• D. $\sqrt{ pq }$

Answer 1

Answer: (D)

$V _{\text {escape }}=\sqrt{2 gR }$
$\frac{ V _{1}}{ V _{2}}=\sqrt{\frac{ g _{1} R _{1}}{ g _{2} R _{2}}}$
$=\sqrt{ pq }$