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Gravitation

JEE Main level, single correct, medium

191 of 223

Question 191 of 223

Two satellites, $A$ and $B$ , have masses $m$ and $2m$ respectively. $A$ is in a circular orbit of radius $R$ and $B$ is in a circular orbit of radius $2R$ around the earth. The ratio of their kinetic energies, $\dfrac{{K}_{A}}{{K}_{B}}$ is:

Show answer and solution

Answer: (C) $1$

Let

v

be the orbital velocity of the satellite which is given as

v=\sqrt{\dfrac{GM}{r}}

Here

M

be the mass of the earth,

m

be the mass of satellite and

r

is the orbit radius.
Kinetic energy,

K=\dfrac{1}{2}m{v}^{2}=\dfrac{1}{2}m{\left(\sqrt{\dfrac{GM}{r}}\right)}^{2}=\dfrac{GMm}{2r}\propto \dfrac{m}{r}

Ratio,

\dfrac{{K}_{A}}{{K}_{B}}=\dfrac{{m}_{A}}{{m}_{B}}\times \dfrac{{r}_{B}}{{r}_{A}}=\dfrac{m}{2m}\times \dfrac{2R}{R}=1

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Gravitation (Motion of satellite), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

Two satellites, AAA and BBB, have masses mmm and 2m2m2m respectively. AAA is in a circular orbit of radius RRR and BBB is in a circular orbit of radius 2R2R2R around the earth. The ratio of their kinetic energies, KAKB\dfrac{{K}_{A}}{{K}_{B}}KB​KA​​ is:

JEE Main question paper PDF

More Physics practice

Two satellites, $A$ and $B$ , have masses $m$ and $2m$ respectively. $A$ is in a circular orbit of radius $R$ and $B$ is in a circular orbit of radius $2R$ around the earth. The ratio of their kinetic energies, $\dfrac{{K}_{A}}{{K}_{B}}$ is: