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  • If the change in the value of ‘g’ at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth):

If the change in the value of ‘g’ at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth):

Option: 1

\mathrm{x=h}


Option: 2

\mathrm{x=2h}


Option: 3

\mathrm{x=1 / 2 h}


Option: 4

\mathrm{x=h^2 .}


Answers (1)

best_answer

\mathrm{\begin{aligned} & g\left(1-\frac{x}{R}\right)=g\left(1-\frac{2 h}{R}\right) \\ \Rightarrow & \frac{x}{R}=\frac{2 h}{R} \Rightarrow \frac{x}{h}=2 \end{aligned}}

Hence (B) is correct.

Posted by

vishal kumar

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