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Calculate the percentage decrease in the...

Calculate the percentage decrease in the weight of a body when taken 32 km below the surface of the earth. Radius of the earth is 6400 km and g `= 9.8 ms^(-2)`

A

0.6%

B

0.2%

C

0.5%

D

0.7%

Text Solution

Verified by Experts

The correct Answer is:
C

Here , `d=32 km, R=6400 km`
Weight of body at depth `d` is `=mg'=mg(1-d/R)`
`%` decrease in weight `=(mg-mg')/(mg)`
`=d/Rxx100=32/6400xx100=0.5%`
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