Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at R/4 depth under surface of earth? (a) 75 N (b) 375 N (c) 300 N (d) 225 N

Answer: (d). Weight at depth: Wd = W(1 - d/R). d = R/4 ⇒ Wd = 300 × 3/4 So the answer is (d) 225 N.

Assuming the earth to be a sphere of uniform mass density, a body… | JEE Main 2024 (6 Apr, Shift 2)

Q35JEE Main 2024 · 6 APR · SHIFT 2Easy

Acceleration Due to Gravity

Assuming the earth to be a sphere of uniform mass density, a body weighed $300\text{ N}$ on the surface of earth. How much it would weigh at R/4 depth under surface of earth?

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Answer: (d)

Weight at depth: $W_d = W\left(1 - \frac{d}{R}\right)$ .
$d = \frac{R}{4} \Rightarrow W_d = 300 \times \frac{3}{4}$
So the answer is (d) $225\text{ N}$ .

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