(A) The orbital speed of a planet at a distance $r$ from the sun is given by the formula: $v_{\text{orb}} = \sqrt{\frac{GM}{r}}$.For planet $A$,the or

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) The orbital speed of a planet at a distance $r$ from the sun is given by the formula: $v_{\text{orb}} = \sqrt{\frac{GM}{r}}$.For planet $A$,the orbital speed is $v_A = v = \sqrt{\frac{GM}{r_A}}$.For planet $B$,the orbital speed is $v_B = \sqrt{\frac{GM}{r_B}}$.Substituting $r_B = 100 r_A$ into the expression for $v_B$:$v_B = \sqrt{\frac{GM}{100 r_A}} = \frac{1}{\sqrt{100}} \sqrt{\frac{GM}{r_A}} = \frac{1}{10} \sqrt{\frac{GM}{r_A}}$.Since $v = \sqrt{\frac{GM}{r_A}}$,we have $v_B = \frac{v}{10}$.

Class 11 Physics Gravitation Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

Easy

The distances of two planets $A$ and $B$ from the sun are $r_A$ and $r_B$ respectively. Given that $r_B = 100 r_A$. If the orbital speed of planet $A$ is $v$,then the orbital speed of planet $B$ is:

MHT CET 2024 All MHT CET

A
$\frac{v}{10}$
B
$\frac{v}{2}$
C
$\sqrt{2} v$
D
$10 v$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

Gravitation

Subtopic

Motion of Satellites in Circular Orbits and Planets in Elliptical Orbits

Previous Year

MHT CET 2024 Paper All MHT CET years →

Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

MediumAIIMS 2015

View Solution

The time period of a geostationary satellite is

Easy

View Solution

Three identical bodies of equal mass $M$ each are moving along a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each body is

Difficult

View Solution

$A$ satellite is revolving very close to a planet of density $\rho$. The period of revolution of the satellite is

DifficultTS EAMCET 2014

View Solution

The radii of circular orbits of two satellites $A$ and $B$ of the earth are $4R$ and $R$ respectively,where $R$ is the radius of the earth. If the speed of satellite $B$ is $6V$,then the speed of satellite $A$ will be:

MediumMHT CET 2025

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

The distances of two planets $A$ and $B$ from the sun are $r_A$ and $r_B$ respectively. Given that $r_B = 100 r_A$. If the orbital speed of planet $A$ is $v$,then the orbital speed of planet $B$ is:

Similar Questions

Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.

The time period of a geostationary satellite is

Three identical bodies of equal mass $M$ each are moving along a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each body is

$A$ satellite is revolving very close to a planet of density $\rho$. The period of revolution of the satellite is

The radii of circular orbits of two satellites $A$ and $B$ of the earth are $4R$ and $R$ respectively,where $R$ is the radius of the earth. If the speed of satellite $B$ is $6V$,then the speed of satellite $A$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Assertion $(A):$ An astronaut in an orbiting space station above the earth experiences weightlessness.
Reason $(R):$ An object moving around the earth under the influence of earth's gravitational force is in a state of 'free fall'.