Answer VerifiedHint: Use the formula for acceleration due to gravity at height h from the surface of the earth. Substitute \[\dfrac{g}{4}\] for acceleration due to gravity at height h and solve the equation for h. For the second part, take the ratio of difference in the acceleration due to gravity at the surface of the earth and acceleration due to gravity at given depth to the acceleration due to gravity at the surface of the earth to determine the percentage decrease in the acceleration due to gravity. Formula used: \[{g_h} = g{\left( {\dfrac{R}{{R + h}}} \right)^2}\]Here, \[{g_h}\] is the acceleration due to gravity at height h from the surface of the earth, g is the acceleration due to gravity at the surface of the earth, and R is the radius of the earth.\[{g_d} = g\left( {1 - \dfrac{h}{R}} \right)\]Here, \[{g_d}\] is the acceleration due to gravity at depth h below the earth’s surface.Complete step by step answer: Note: In the section (B). it is incorrectly mentioned an increase in the acceleration due to gravity. The acceleration due to gravity does not increase with the depth rather it decreases with the depth. |