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NEET · Physics · STD 11 - 7. gravitation

The work done to raise a mass \(\mathrm{m}\) from the surface of the earth to a height \(\mathrm{h}\), which is equal to the radius of the earth, is 

  1. A \(\mathrm{mgR}\)
  2. B \({2} \mathrm{mgR}\)
  3. C \(\frac{1}{2} \mathrm{mgR}\)
  4. D \(\frac{3}{2} \mathrm{mgR}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{1}{2} \mathrm{mgR}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{W}=\frac{\mathrm{mgh}}{1+\mathrm{h} / \mathrm{R}}\) at \(\mathrm{h}=\mathrm{R}, \mathrm{W}=\frac{\mathrm{mgR}}{2}\)