Question

# If on the surface of the Earth is , then it's value at a depth of (Radius of the earth ) is

A
B
C
D
Easy
Solution
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Correct option is C)

## The value of gravity changes as we move away from or towards the centre of the Earth. This is given by: , where is the mass of a planet of radius So, ; substituting in above equation Since we want the value of at depth() from the Earth's surface, we replace by The given depth in the problem is  km, substituting we get,

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