Question

A plot of gravitational field v/s distance for a thin hollow spherical shell of radius R revealed:

• A. the slope of the curve from $r=0$ to $r=R$ is a straight line with slope = G
• B. the slope of the curve from $r=0$ to $r=R$ is a straight line with slope = g
• C. the slope of the curve from $r=0$ to $r=R$ is a straight line with slope = 0
• D. the slope of the curve from $r=0$ to $r=R$ is a straight line with slope = infinity

Answer 1

The correct option is C the slope of the curve from $r=0$ to $r=R$ is a straight line with slope = 0

Gravitational Field, $E=\frac{GM}{r^2}$

For spherical shell, from $r=0$ to $r=R$

Since, there is no mass inside the spherical shell.

$\Rightarrow E=\frac{G\times 0}{r^2}=0$

So, the slope of the curve from r=0 to r=R is a straight line with slope = 0