Q134 / 200 · NEET 2024 (Re-NEET) · Physics

An object of mass 100 kg falls from point $A$ to $B$ as shown in figure. The change in its weight, corrected to the nearest integer is ( $R_E$ is the radius of the earth) Figure

  • Correct answer
    A
    49 N
  • B
    89 N
  • C
    5 N
  • D
    10 N

Solution

$M g^{\prime}=M g \frac{R^2}{(R+h)^2}$ At A $\quad M g^{\prime}=M g \frac{R^2}{(R+2 R)^2}=\frac{M g}{9}$ At $B \quad M g^{\prime}=M g \frac{R}{\left(R+\frac{3 R}{2}\right)^2}=\frac{M g \cdot 4}{25}$ Change in weight $=M g \frac{4}{25}-\frac{M g}{9}=49 \mathrm{~N}$

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

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