Acceleration Due to Gravity and its variation: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Acceleration Due to Gravity and its variation. Understanding the underlying formula is key to arriving at the correct answer below:

The acceleration due to gravity at depth \(h\) is \(g_d = g\left(1 - \frac{h}{R}\right)\). The change in gravity is \(\Delta g = g - g_d = g\frac{h}{R}\). Thus, the fractional change \(\frac{\Delta g}{g}\) is \(\frac{h}{R}\).