What would be the accelearation due to gravity at a depth of 200 km from ythe earth surface assuming that earth has uniform denisty [Take ,R =6400 km]

Options

A. 4.37 `ms^(-2)`
B. 6.737 `ms^(-2)`
C. 5.709 `ms^(-2)`
D. 4.751 `ms^(-2)`

Explanation

To find the acceleration due to gravity at a depth of 200 km from the Earth's surface, we can use the formula for gravitational acceleration at a depth \( d \):

\[ g_d = g \left(1 - \frac{d}{R}\right) \]

where:
- \( g_d \) is the acceleration due to gravity at depth \( d \),
...