Value of g from Centre of Earth to Altitude – Rankers Physics
Topic: Gravitation
Subtopic: Acceleration Due to Gravity and its variation

Value of g from Centre of Earth to Altitude

One goes from the centre of the earth to an altitude half the radius of the earth, where will the \(g\) be greatest ?
centre of the earth
At a depth half the radius of the earth
At the surface of the earth
At an altitude equal to half the radius of the earth.

Solution:

The acceleration due to gravity is zero at the centre, increases linearly inside the earth up to the surface where it is maximum \(g = \frac{GM}{R^2}\), and then decreases as \(1/r^2\) outside the surface. Thus, \(g\) is greatest at the surface.

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