Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

The depth d at which the value of acceleration due to gravity becomes 1/n times the value at the surface, is [R = radius of the earth] : 

Options:

\(\frac{R}{n}\)

\(\frac{n-1}{n}R\)

\(\frac{R}{n^2}\)

\(\frac{n}{n+1}\)

Correct Answer:

\(\frac{n-1}{n}R\)

Explanation:

\(g' = g(1-\frac{d}{R})\)

\(\Rightarrow \frac{g}{n} = g(1-\frac{d}{R})\)

\(\Rightarrow \frac{d}{R} = 1 - \frac{1}{n}\)

\(\Rightarrow d = \frac{n-1}{n}R\)