Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

The acceleration due to gravity at a depth d below the Earth's surface is given by:
Options
A g_d = g(1 - d/R_E)
Correct Answer
B g_d = g(1 - 2d/R_E)
C g_d = g(1 + d/R_E)
D g_d = g/(1 - d/R_E)²
Correct Answer

Option A is the correct answer.

Detailed Explanation

derives that g_d/g = (R_E - d)/R_E = 1 - d/R_E. Therefore, g_d = g(1 - d/R_E). This is a linear decrease with depth.

Hint

Only the mass inside the sphere of radius (R_E - d) contributes to gravity at depth d.

Question Info