The depth at which the effective value of acceleration due to gravity is g/4

The Depth At Which The Effective Value Of Acceleration Due Physics QuestionThe Depth At Which The Effective Value Of Acceleration Due Physics Question

The depth at which the effective value of acceleration due to gravity is g/4 is (R=Radius of earth)

Options

(a) R
(b) 3R/4
(c) R/2
(d) R/4

Correct Answer:

3R/4

Explanation:

The effect of depth of acceleration due to gravity is g’=g(1-d/R)
Given, g’=g/4
g/4=g(1-d/R)
(g/4)/g=(1-d/R)
1/4=1-d/R ⇒d/R=1-1/4 ⇒3/4
d=3R/4

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