Physics Circle home Student Login

Home›Chapters›Gravitation PYQs›Acceleration Due to Gravity›Question 19

MHT CET 2025 (25 Apr, Shift 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from MHT CET 2025 (25 Apr, Shift 2)

Q19MHT CET 2025 · 25 APR · SHIFT 2Easy

Acceleration Due to Gravity

The depth at which the value of acceleration due to gravity becomes (1n)\left(\frac{1}{n}\right) times the value at the surface of the earth is

( R=R = radius of the earth)

Show answer and solution

Answer: (a)

  1. At depth dd: gd=g(1−dR)g_d = g\left(1 - \frac{d}{R}\right).
  2. 1−dR=1n1 - \frac{d}{R} = \frac{1}{n}
  3. d=R(1−1n)=R(n−1)nd = R\left(1 - \frac{1}{n}\right) = \frac{R(n-1)}{n}
  4. So the answer is (a) R(n−1)n\frac{R(n-1)}{n}.
Report a mistake

More questions on Acceleration Due to Gravity