The acceleration due to gravity is g at a pointegral distant... | PHYSICS - THE GRAVITATIONAL CONSTANT | SolveeIt | Solveeit

Today, August 19

Question

The acceleration due to gravity is g at a point distant r from the centre of earth of radius R. If $r < R$ , then

A

$g \propto r$

B

$g \propto r ^ { 2 }$

C

$g \propto r ^ { - 1 }$

D

$g \propto r ^ { - 2 }$

Answer

$g \propto r$

Explanation

Solution

Inside the earth $g ^ { \prime } = \frac { 4 } { 3 } \pi \rho G r$ ∴ $g ^ { \prime } \propto r$