Assuming the Earth to be a sphere of uniform mass density, the weight of a body at a depth d = R/2 from the Earth's surface is 200 N on the surface. Its weight at that depth will be:
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Question

Assuming the Earth to be a sphere of uniform mass density, the weight of a body at a depth d = R/2 from the Earth's surface is 200 N on the surface. Its weight at that depth will be:

G1 Physics · Accepted Answer

Inside a uniform Earth, g(d) = g(1 − d/R) For d = R/2: g(d) = g(1 − 1/2) = g/2 Weight is proportional to g. Therefore, W(d) = 200/2 = 100 N Hence option C follows.