At a height of 10 km above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density of the earth, the depth is,

Question

At a height of 10 km above the surface of earth, the value of acceleration due to gravity is the same as that of a particular depth below the surface of earth. Assuming uniform mass density of the earth, the depth is,, 1 km, 5 km, 10 km, 20 km

MARKS App · Accepted Answer

At a height h g h = g 0 1 - 2 h R when h ( 10 km ) R ( 6400 km ) at a depth d g d = g 0 1 - d R here g 0 = G M R 2 Now g h = g d ⇒ d = 2 h d = 20 km

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