At the Earth’s center, the weight of a body is zero because gravitational forces from all directions cancel out.
Class 11 Physics
Gravitation
CBSE EXAM 2024-25
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Here gₔ = 1% of g = g/100
But gₔ = g(1 – d/R)
g/100 = g(1 – d/R)
or d/R = 1 – 1/100 = 99/100
d = 99/100 x R = 99/100 x is 6400 = 6336 km