JEE Main 2013PhysicsGravitationMediumMCQ

JEE Main 2013Gravitation Question with Solution

JEE Main 2013 (07 Apr)

Question

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R ?

Choose an option

Show full solutionCorrect option: C
Correct answer
C 5 GmM 6 R

Step-by-step explanation

As we know,
Gravitational potential cnergy =-GMmr
and orbital velocity, v0=GM/R+h
Ef=12mv02-GMm3R=12 mGM3R-GMm3R
=GMm3R12-1=-GMm6R
Ei=-GMmR+K
Ei=Ef
Therefore minimum required energy,
K=5GMm6R

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About this question

This is a previous-year question from JEE Main 2013, covering the Gravitation chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.