JEE Main 2019PhysicsGravitationEscape Speed And Motion Of SatellitesmediumMCQ

JEE Main 2019Gravitation Question with Solution

From: JEE Main 2019 (Online) 9th January Evening Slot

Question

The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 103 km) is E1 and kinetic energy required for the satellite to be in a circular orbit at this height is E2. The value of h for which E1 and E2 are equal, is

Choose an option

Show full solutionCorrect option: B
Correct answer
B3.2 103 km

Step-by-step explanation

Energy required to move a satellite from earth surface to height h is,

E1 = Uh Usurface

=

= GMm

=

We know, for sattelite at height h.

Centrifigual force = Gravitational force

  

  2 =

   =

  Kinetic energy (E2) =

Given that,

E1 = E2

  

  

  h =

  h =

= 3.2 103 km

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About this question

This is a previous-year question from JEE Main 2019, 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.