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Question

Weight of a body of mass m decreases by 1% when it is raised to height h above the earth’s surface. If the body is taken to a depth h in a mine, change in its weight is


A

2% decrease

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B

0.5% decrease

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C

1% increase

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D

0.5% increase

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Solution

The correct option is B

0.5% decrease


Percentage change in g when the body is raised to height h, Δgg×100%=2h×100R=1%

Percentage change in g when the body is taken to a depth d,

Δgg×100%=dR×100%=hR×100%[As d=h]

Percentage decreases in weight =12(2hR×100)=12(1%)=0.5%


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