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At the centre of earth, value of g is zero. As the acceleration due to gravity is zero at the centre of earth, weight of a body is zero at thecentre of earth.
We have the formula,
g' = g/(1+h/R)^2
Here g' = acceleration due to gravity at the height
g = 9.8m/s^2
R = radius of earth
h = height
on Putting the value, we get
g/g' = (1+h/R)^2
4 = (1+h/R )^2
1+h/R = 2
h/R = 1
h = R
R=6371 Km
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