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AP EAMCET · PHYSICS · Gravitation

Work done in raising a body of mass \(m\) from the surface of the earth to a height \(\frac{R}{3}\) is ......... (where, \(R\) is radius of earth, \(M\) is mass of the earth and \(G\) is gravitational constant)

  1. A \(\frac{G M m}{4 R}\)
  2. B \(\frac{4 G M m}{R}\)
  3. C \(\frac{3 G M m}{4 R}\)
  4. D \(\frac{G M m}{3 R}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{G M m}{4 R}\)

Step-by-step Solution

Detailed explanation

At surface, gravitational potential energy, \[ U_1=\frac{-G M m}{R} \] At height \(n R, U_2=\frac{-G M m}{R+n R}\)…