Orbital velocity of earth #39;s satellit

Your Ultimate Guide to JEE & NEET Question Solutions

Orbital velocity of earth's satellite near the surface is $7 \,km/s$. When the radius of the orbit is $4$ times than that of earth's radius, then orbital velocity in that orbit is ......... $km/sec$

A

$3.5$

B

$7$

C

$72$

D

$14$

Orbital velocity of earth's satellite near the surface is $7 \,km/s$. When the radius of the orbit is $4$ times than that of earth's radius, then orbital velocity in that orbit is ......... $km/sec$

$v \propto \frac{1}{{\sqrt r }}.$

If orbital radius becomes $4$ times then orbital velocity will become half.

i.e. $\frac{7}{2} = 3.5\;km/s$