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  • The weight of a body on the earth is . Then weight of the body when taken to a depth half of the radius of th

The weight of a body on the earth is 400 N. Then weight of the body when taken to a depth half of the radius of
the earth will be:

Option: 1

300 N


Option: 2

zero


Option: 3

100 N


Option: 4

200 N


Answers (1)

best_answer

Weight on the earth surface = mg
mg = 400 N (given)
Weight at a depth dw= m \left ( \frac{GM \left ( R -d \right )}{R^{3}} \right )
\begin{aligned} & \mathrm{W}=\mathrm{mg}\left(1-\frac{\mathrm{d}}{\mathrm{R}}\right) \\ & \mathrm{d}=\frac{\mathrm{R}}{2} \Rightarrow \mathrm{w}=\mathrm{mg}\left(1-\frac{1}{2}\right) \Rightarrow \mathrm{w}=\frac{\mathrm{mg}}{2} \\ & \mathrm{w}=200 \mathrm{~N} \end{aligned}

Posted by

Irshad Anwar

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