Question

The acceleration due to gravity is g at a point distance r from the centre of earth of radius r if are less than or then

Answer 1

Gravity-based acceleration is a vector meaning it has both a magnitude and a direction. The letter g represents the force due to gravity on Earth's surface. Acceleration due to gravity is defined as the acceleration gained by an object due to its gravitational force. The SI unit for the same is m/s²

Acceleration due to gravity = g

Radius from the centre of earth = r

Inside the earth  the gravity is described as -

gravitational acceleration ∝ 1/ distance²

= g = 4/3πρGr

Therefore, g∝r