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Acceleration Due to Gravity question from NEET 2017

Q116NEET 2017Easy

Acceleration Due to Gravity

The acceleration due to gravity at a height 1 km above the earth is the same as at a depth d below the surface of earth. Then

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Answer: (c)

  1. For h≪Rh \ll R: gh=g(1−2hR)g_h = g\left(1 - \frac{2h}{R}\right) and gd=g(1−dR)g_d = g\left(1 - \frac{d}{R}\right).
  2. Equal gg: 2hR=dR⇒d=2h=2 km\frac{2h}{R} = \frac{d}{R} \Rightarrow d = 2h = 2\text{ km}
  3. So the answer is (c) d=2 kmd = 2\text{ km}.
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