Q106 / 125 · BITSAT 2011 · Physics

In an uniformly charged sphere of total charge Q and radius $\mathrm{R},$ the electric field $\mathrm{E}$ is plotted as function of distance from the centre. The graph which would correspond to the above will be

  • A
    Figure
  • B
    Figure
  • Correct answer
    C
    Figure
  • D
    Figure

Solution

Electric field inside the uniformly charged sphere varies linearly, $E=\frac{k Q}{R^{3}} r,(r \leq R)$ while outside the sphere, it varies as inverse square of distance, $E=\frac{k Q}{r^{2}} ;(r \geq R)$ which is correctly represented in option (c).

Hence, the correct answer is option: 'C'.

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