Gravitation Question 44

Question: Assuming earth to be a sphere of a uniform density, what is the value of gravitational acceleration in a mine 100 km below the earth’s surface (Given R = 6400 km) [AFMC 2000; Pb. PMT 2000]

Options:

A) $ [9.66m/s^{2}] $

B) $ [7.64m/s^{2}] $

C) $ [5.06m/s^{2}] $

D) $ [3.10m/s^{2}] $

Show Answer

Answer:

Correct Answer: A

Solution:

$ [g’=g\left( 1-\frac{d}{R} \right)=9.8\left( 1-\frac{100}{6400} \right)=9.66m/s^{2}] $



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