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AP EAMCET · PHYSICS · Gravitation

The value of acceleration due to gravity at a height of \(4 R_E\) from surface of earth is \(R_E\) is radius of earth and acceleration due to gravity on the surface of the earth = \(10 \mathrm{~ms}^{-2}\) )

  1. A \(0.2 \mathrm{~ms}^{-2}\)
  2. B \(0.3 \mathrm{~ms}^{-2}\)
  3. C \(0.4 \mathrm{~ms}^{-2}\)
  4. D \(3 \mathrm{~ms}^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.4 \mathrm{~ms}^{-2}\)

Step-by-step Solution

Detailed explanation

Acceleration due to gravity ' \(\mathrm{g}\) ' varies with height as \[ g^{\prime}=g\left(\frac{R}{R+h}\right)^2 \] Given \(\mathrm{R}+\mathrm{h}=5 \mathrm{R}\) and \(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\)…