ExamBro
ExamBro
COMEDK · Physics · 9. Gravitation

The acceleration due to gravity at a height of \(7 \mathrm{~km}\) above the earth is the same as at a depth d below the surface of the earth. Then d is

  1. A 3.5 km
  2. B 2 km
  3. C 14 km
  4. D 7 km
Verified Solution

Answer & Solution

Correct Answer

(C) 14 km

Step-by-step Solution

Detailed explanation

The acceleration due to gravity at a height \(h\) above the surface of the earth is given by \(g_h = g \left(1 - \dfrac{2h}{R}\right)\), where \(g\) is the acceleration due to gravity at the surface and \(R\) is the radius of the earth. The acceleration due to gravity at a depth…