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EEJ MAIN Physics QUESTION #6997
Question 1

The given graph shows a quantity that is constant inside a sphere and decreases with $1/r$ outside. This variation with distance $r$ from centre represents:

  • Electric field of a uniformly charged solid sphere
  • Potential of a uniformly charged spherical shell✔️
  • Potential of a uniformly charged solid sphere
  • Electric field of a uniformly charged spherical shell
Correct Answer Explanation

Analyzing each option's variation with $r$:

  • Electric field of solid sphere: increases linearly inside ($\propto r$), decreases as $1/r^2$ outside.
  • Potential of spherical shell: constant inside (= $kQ/R$), decreases as $1/r$ outside. This matches the graph exactly.
  • Potential of solid sphere: varies parabolically inside, $\propto 1/r$ outside — not constant inside.
  • Electric field of spherical shell: zero inside, $1/r^2$ outside.

The graph (constant inside, $1/r$ decrease outside) matches the potential of a uniformly charged spherical shell.