Q117 / 180 · NEET 2025 · Physics

A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its surface is :

  • A
    16 N
  • Correct answer
    B
    27 N
  • C
    32 N
  • D
    36 N

Solution

$\begin{aligned} & \mathrm{W}^{\prime}=\mathrm{mg}^{\prime}=\mathrm{mg}\left(\frac{\mathrm{R}}{\mathrm{R}+\mathrm{h}}\right)^2 \\ & =48\left(\frac{\mathrm{R}}{\mathrm{R}+\frac{\mathrm{R}}{3}}\right)^2 \\ & =48 \times \frac{9}{16}=27 \mathrm{~N}\end{aligned}$

Hence, the correct answer is option: 'B'.

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