Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Communication

Question:

Electric field at the surface, of a conducting shell of radius 'r' is measured as X.

Electric field at a distance 3r from the centre of the shell is:

Options:

\( \frac{X}{3} \)

\( \frac{X}{6} \)

\( \frac{X}{9} \)

X

Correct Answer:

\( \frac{X}{9} \)

Explanation:

We know, \( E \propto \frac{1}{r^2}\) (for a shell) 

∴ \( \frac{E_1}{E_2}=\frac{r_2^2}{r_1^2} \)

\( \frac{X}{E_2}=\frac{(3 r)^2}{(r)^2} \)

∴ \( E_2=\frac{X}{9} \)