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Variation of G Due to Height and Depth

The weight of...

Question

The weight of an object in the coal mine, sea level and at the top of the mountain, are respectively $W_{1}$ , $W_{2}$ and $W_{3}$ then

A

W_{1} < W_{2} > W_{3}

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B

W_{1} = W_{2} = W_{3}

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C

W_{1} < W_{2} < W_{3}

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D

W_{1} > W_{2} > W_{3}

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Solution

The correct option is B $W_{1} < W_{2} > W_{3}$
At the surface of earth, the value of $g = 9.8 m / s e c^{2}$ . If we go towards the centre of earth or we go above the surface of earth, then in both the cases the value of $g$ decreases.
Hence $W_{1} = m g_{m i n e}, W_{2} = m g_{s e a l e v e l}, W_{3} = m g_{m o u n t a i n}$
So $W_{1} < W_{2} > W_{3}$ ( $g$ at the sea level $= g$ at the surface of earth)

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