Question

# Energy of a satellite in circular orbit is âˆ’E0. The energy required to move the satellite to a circular orbit of 3 times the radius of the initial orbit is

A
23E0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2E0
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
E03
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
32E0
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 23E0For a satellite of mass m revolving around a planet of mass M in a circular orbit of radius r. So the total mechanical energy of a satellite is given by E=−GMm2r Total mechanical energy at radius r will be E1=−GMm2r=E0 Total mechanical energy at radius 3r is E2=−GMm2(3r)=E03 Energy required is given by E2−E1=∣∣∣E03−E0∣∣∣=2E03 Therefore, option (a) is correct. Key Concept : The work done energy required to shift a satellite from one configuration to the other is equal to the difference between the total mechanical energy of the two configurations.

Suggest Corrections
1