Rankers Physics

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

The dependence of acceleration due to gravity 'g' on the distance 'r' from the centre of the earth, assumed to be a sphere of radius R of uniform density, is as shown in figure below:- Acceleration Due to Gravity and its variation diagram: The dependence of acceleration due to gravity 'g' The correct figure is :
(a)
(b)
(c)
(d)

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:

\[ g= \frac{GMr}{R^{3}}  \] for internal point

\[ g= \frac{GM}{r^{2}}  \] for external point

 

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