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NEET2016PhysicsGravitationActual

At what height from the surface of earth the gravitation potential and the value of g are - 5.4 × 10 7  J   k g - 2 and 6.0   m  s - 2 respectively? Take the radius of earth as 6400 km :

Options

  1. A2600 km
  2. B1600 km
  3. C1400 km
  4. D2000 km

Correct answer

A. 2600 km

Step-by-step solution

V = G M R + h = - 5.4 × 10 7 g = G M R + h 2 = 6 ∴ 5.4 6 × 10 7 = R + h ∴ 9 × 10 6 = 6.4 × 10 6 + h ∴ h = 2600 k m

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