Gravitation - Result Question 21

21. Assuming earth to be a sphere of uniform density, what is the value of ’ g ’ in a mine 100 km below the earth’s surface? (Given, R=6400 km )

(a) 9.65m/s2

(b) 7.65m/s2

(c) 5.06m/s2

(d) 3.10m/s2

[2001]

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Answer:

Correct Answer: 21. (a)

Solution:

  1. (a) We know that effective gravity g at depth below earth surface is given by

g=g(1dR)

Here, d=100km,R=6400km,

g=9.8(11006400)=9.65m/s2



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