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ExamsJEE MainGeneral

A spherically symmetric charge distribution is considered with charge density varying as ρ (r) = ⎪ ⎩ ⎪ ⎨ ⎧ > ≤ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ρ R r for Zero R r for R r – 4 3 0 Where, r(r < R) is the distance from the centre O (as shown in figure). The electric field at point P will be :

  1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ε ρ R r – 4 3 4 r 0 0
  2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ε ρ R r – 4 3 3 r 0 0
  3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ε ρ R r – 1 4 r 0 0
  4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ε ρ R r – 1 5 r 0 0

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ε ρ R r – 1 4 r 0 0

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