JEE Mains · Physics · STD 11 - 7. gravitation
Assuming the earth to be a sphere of uniform mass density, a body weighed \(300 \mathrm{~N}\) on the surface of earth. How much it would weigh at \(R / 4\) depth under surface of earth?
- A \(75 \mathrm{~N}\)
- B \(375 \mathrm{~N}\)
- C \(300 \mathrm{~N}\)
- D \(225 \mathrm{~N}\)
Answer & Solution
Correct Answer
(D) \(225 \mathrm{~N}\)
Step-by-step Solution
Detailed explanation
\(\text { At surface: } \mathrm{mg}=300 \mathrm{~N}\) \(\mathrm{~m}=\frac{300}{\mathrm{~g}_{\mathrm{s}}}\) \(\text { At Depth } \frac{R}{4}: g_d=g_s\left[1-\frac{d}{R}\right]\) \(g_d=g_s\left[1-\frac{R}{4 R}\right]\)…
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