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find the acceleration due to gravity in ...

find the acceleration due to gravity in a mine of depth 640 m if the value at the surface is `9.800 ms^-2`. The radius of the earth is 6400 km.

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The correct Answer is:
B
Let g' be the acceleration due to gravity in mine
`Then, g'=g(1-d/R)`
`=9.8(1-640/(640xx10^3))`
`=9.8((10000-1)/10^4)`
`=9.8/10^4 9999`
`=9.799 m/s^2`
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