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 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

admin:

Related Questions

  1. The density of ice is 0.9 g/cc and that of sea water is 1.1 g/cc
  2. A thin prism of angle 15⁰ made of glass of refractive index µ₁ = 1.5 is combined
  3. A roller coaster is designed such that riders experience “weightlessness” as they
  4. An object is projected with a velocity of 20 m/s making an angle of 45⁰ with horizontal.
  5. What is the Q-value of the reaction? ¹H+⁷Li→⁴He+⁴He