Question 291: Gravitation

Question

The weights of an object are measured in a coal mine of depth ' $h_1$ ', then at sea level of height ' $h_2$ ' and lastly at the top of a mountain of height ' $h_3$ ' as $W_1, W_2$ and $W_3$ respectively. Which one of the following relation is correct?
[h $h_1 \ll R, h_3 \gg h_2=R, R=$ radius of the earth ]

Accepted Answer

$$
\begin{aligned}
& 	ext { Weight }=\mathrm{mg} \
& 	ext { Value of ' } \mathrm{g} 	ext { ' is maximum on the surface of } \
& 	ext { earth. As we go above or below the surface of } \
& 	ext { earth, value of ' } \mathrm{g} 	ext { ' decreases } \
& 	herefore \quad \mathrm{W}_2>\mathrm{W}_1 	ext { and } \mathrm{W}_2>\mathrm{W}_3 \
& 	ext { or } \mathrm{W}_1\mathrm{W}_3
\end{aligned}
$$

Answer

$\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3$

Answer

$\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3$

Answer

$\mathrm{W}_1>\mathrm{W}_2<\mathrm{W}_3$

Answer

$\mathrm{W}_1<\mathrm{W}_2>\mathrm{W}_3$

Gravitation

The weights of an object are measured in a coal mine of depth ' h_1 ', then at sea level of height ' h_2 ' and lastly at the top of a mountain of height ' h_3 ' as W_1, W_2 and W_3 respectively. Which one of the following relation is correct? [h h_1 \ll R, h_3 \gg h_2=R, R= radius of the earth ]

Choose the correct answer: