OnlineCBT
Physics · GRAVITATION
हिन्दीConsider the following statements regarding acceleration due to gravity \( g \) of the Earth (assumed spherical with radius \( R_E \)): (A) At a height \( h = R_E \) above the surface, \( g(h) = \frac{g}{4} \). (B) At a depth \( d = \frac{R_E}{2} \) below the surface, \( g(d) = \frac{g}{2} \). (C) At the centre of the Earth, the acceleration due to gravity is zero. (D) The value of \( g \) at a depth \( d \) is given by \( g(1 - \frac{2d}{R_E}) \) for all \( d < R_E \). Which of the above statements are correct?
Correct answer · Option 4
(A), (B) and (C) only
Explanation
(A) is true: g(h) = GM/(R_E+R_E)^2 = g/4. (B) is true: g(d) = g(1 - 0.5) = g/2. (C) is true: at centre d = R_E, so g = 0. (D) is false: the exact relation is g(1 - d/R_E).
