JEE Main 2023PhysicsGravitationHardMCQ

JEE Main 2023 — Gravitation Question with Solution

JEE Main 2023 (11 Apr Shift 2)

Question

A space ship of mass 2×104 kg is launched into a circular orbit close to the earth surface. The additional velocity to be imparted to the space ship in the orbit to overcome the gravitational pull will be (if g=10 m s-2 and radius of earth =6400 km ):

Choose an option

Show full solutionCorrect option: B
Correct answer
B8(2-1) km s-1

Step-by-step explanation

 The orbital velocity of satellite is 

vorb=GMR

The escape velocity is 

vesc=2GMR

Hence, the additional velocity required is 

Δv=vesc-vorb=2GMR-GMR=(2-1)GMR
=(2-1)gR
=(2-1)10×6400×103
=8(2-1) km s-1

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About this question

This is a previous-year question from JEE Main 2023, 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.