The weight of a body on the earth is 400 N. Then weight of the body when taken to a depth half of the radius of the earth will be:
Options

Question

The weight of a body on the earth is 400 N. Then weight of the body when taken to a depth half of the radius of the earth will be:

G1 Physics · Accepted Answer

For a body at depth d below Earth's surface, using the standard uniform-density model: g(d) = g(1 − d/R) Here, d = R/2 Therefore, g(d) = g(1 − 1/2) = g/2 Weight is proportional to g, so W(d) = 400/2 = 200 N Hence option D follows.