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AIIMS 201925 May
Exam
AIIMS
Year
2019
Date
25 May
Subject
Physics
Chapter
Gravitation

AIIMS 2019 · 25 May · Physics · Gravitation

Taking the radius of the earth to be 6400 ~km , by what percentage...

Taking the radius of the earth to be 6400 km6400 \mathrm{~km}, by what percentage will the acceleration due to gravity at a height of 100 km100 \mathrm{~km} from the surface of the earth differ from that on the surface of the earth?

Options

  1. Aabout 1.5%1.5 \%
  2. Babout 5%5 \%
  3. Cabout 8%8 \%
  4. Dabout 3%3 \%

Correct answer

D. about 3%3 \%

Step-by-step solution

Acceleration due to gravity at a height hh from the surface of the earth is gh=gR2(R+h)2g_h=\frac{g R^2}{(R+h)^2} where gg is the acceleration due to gravity on the surface of the earth and RR is the radius of the earth.
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