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Assuming earth to be a sphere of a unifo...

Assuming earth to be a sphere of a uniform density, what is the value of gravitational acceleration in mine 100km below the earth's surface (Given `R=6400km)`

A

`9.66m//s^(2)`

B

`7.64m//s^(2)`

C

`5.06m//s^(2)`

D

`3.10m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Acceleration due to gravity at depth `d`, `g'=g[1-d/R]`
`=g[1-100/6400]=9.8[1-1/64]=9.8xx63/64=9.66m//s^(2)`
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