MHT CET · Physics · Gravitation
The weights of an object are measured in a coal mine of depth ' \(h_1\) ', then at sea level of height ' \(\mathrm{h}_2\) ' 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? [\(h_1 \ll R, h_3 \gg h_2=R, R=\) radius of the earth]
- A \(\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3\)
- B \(\mathrm{W}_1 \lt \mathrm{W}_2 \lt \mathrm{W}_3\)
- C \(\mathrm{W}_1 \gt \mathrm{W}_2 \lt \mathrm{W}_3\)
- D \(\mathrm{W}_1 \lt \mathrm{W}_2\gt\mathrm{W}_3\)
Answer & Solution
Correct Answer
(D) \(\mathrm{W}_1 \lt \mathrm{W}_2\gt\mathrm{W}_3\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text {Weight }=\mathrm{mg} \\ & \text {Value of ' } \mathrm{g} \text { ' is maximum on the surface of } \\ & \text {earth. As we go above or below the surface of } \\ & \text { earth, value of ' } g \text { ' decreases } \\ & \mathrm{W}_2\gt\mathrm{W}_1 \text { and } W_2 \gt W_3 \\ & \text { or } W_1 \lt W_2 \gt W_3\end{aligned}\)
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