Physics · Gravitation

JEE Main 2024 — 8 April, Shift 2 — Question 36

Two satellite $A$ and $B$ go round a planet in circular orbits having radii 4 R and R respectively. If the speed of A is $3 v$ , the speed of B will be :

Option A:
$\frac{4}{3} v$
Option B:
$3 v$
Option C:
$6 v$
Correct
Option D:
$12 v$

Answer: C

Step-by-step solution

$\mathbf{v}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$

$\frac{\mathrm{v}_{\mathrm{A}}}{\mathrm{v}_{\mathrm{B}}}=\sqrt{\frac{\mathrm{R}_{\mathrm{B}}}{\mathrm{R}_{\mathrm{A}}}}=\sqrt{\frac{\mathrm{R}}{4 \mathrm{R}}}=\frac{1}{2}$

$\mathrm{v}_{\mathrm{B}}=2 \mathrm{v}_{\mathrm{A}}=6 \mathrm{v}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2024
Paper: 8 April, Shift 2
Subject: Physics
Chapter: Gravitation
Topic: Motion of Satellites and Escape Speed