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JEE Main 20248 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 8 April
Shift: Evening Shift
Subject: Physics
Chapter: Gravitation

JEE Main 2024 · 8 April · Evening Shift · Physics · Gravitation

Two satellite A and B go round a planet in circular orbits having...

Two satellite

A

and

B

go round a planet in circular orbits having radii

4 R

and

R

respectively. If the speed of

\mathrm{A}

is

3 v

, the speed of

\mathrm{B}

will be :

Options

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

Correct answer

B. $6 v$

Step-by-step solution

\begin{aligned} & \mathbf{v}=\sqrt{\frac{G M}{R}} \\ & \frac{v_A}{v_B}=\sqrt{\frac{R_B}{R_A}}=\sqrt{\frac{R}{4 R}}=\frac{1}{2} \\ & v_B=2 v_A=6 v\end{aligned}

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