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}] $