COMEDK · Physics · 9. Gravitation
A stone weight \(100 \mathrm{~N}\) on the surface of the earth. The ratio of its weight at a height of half the radius of the earth to a depth of half the radius of the earth will be approximately
- A \(3.6\)
- B \(2.2\)
- C \(1.8\)
- D \(0.9\)
Answer & Solution
Correct Answer
(D) \(0.9\)
Step-by-step Solution
Detailed explanation
Weight of stone at the surface of the earth, \(w=100 \mathrm{~N}\) At height \(h\) from the surface of earth, gravitational acceleration, \[ g_{h}=\frac{g}{\left(1+\frac{h}{R}\right)^{2}} \] At depth \(d\) from the surface of the earth, gravitational acceleration,…
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