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AIIMS 201926 May
Exam
AIIMS
Year
2019
Date
26 May
Subject
Physics
Chapter
Gravitation

AIIMS 2019 · 26 May · Physics · Gravitation

Assertion : Orbit of a satellite is within the gravitational field...

Assertion : Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth. Reason : Orbital velocity of a satellite is greater than its escape velocity.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

C. If assertion is true but reason is false.

Step-by-step solution

The orbital velocity, if a satellite close to earth is vo=gRev_o=\sqrt{g R_e}, while the escape velocity for a body thrown from the earth's surface is ve=2gRev_e=\sqrt{2 g R_e} Thus vove=gRe2gRe=12\frac{v_o}{v_e}=\sqrt{\frac{g R_e}{2 g R_e}}=\frac{1}{\sqrt{2}} or ve=2vov_e=\sqrt{2} v_o
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