Assuming the earth to be sphere of uniform mass density, how much would a body weight half way down the center of the earth, If it weighed 100 N on the surface?

Q: Assuming the earth to be sphere of uniform mass density, how much would a body weight half way down the center of the earth, If it weighed 100 N on the surface?

(a) 75 N

(b) 50 N

(c) 60 N

(d) 62 N

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Ans: (b)