The value of acceleration due to gravity at a height of $ 10 \mathrm{~km} $ from the surface of earth is $ x $. At what depth inside the earth is the value of the acceleration due to gravity has the same value $ x ? $

Question

The value of acceleration due to gravity at a height of $ 10 \mathrm{~km} $ from the surface of earth is $ x $. At what depth inside the earth is the value of the acceleration due to gravity has the same value $ x ? $, $ 10 \mathrm{~km} $, $ 15 \mathrm{~km} $, $ 5 \mathrm{~km} $, $ 20 \mathrm{~km} $

MARKS App · Accepted Answer

g h = g 1 - 2 h R g d = g 1 - d R ⇒ g h = g d g 1 - 2 h R = g 1 - d R ⇒ d = 2 h = 2 × 10 = 20 km

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