JEE Physics · Hard

Electrostatics: Gauss's Law MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Gauss's LawHardQuestion 31471

Question

An infinite line charge (λ = 2 μC/m) is at origin. Field at 0.1 m:
  1. A
    360 kN/C
    Correct
  2. B
    180 kN/C
  3. C
    720 kN/C
  4. D
    90 kN/C

Correct answer

360 kN/C

Explanation

E = λ/(2πε₀r) = 2kλ/r = 2×9×10⁹×2×10⁻⁶/0.1 = 36×10³/0.1... = 2×9×10⁹×2×10⁻⁶/0.1 = 360,000 N/C = 360 kN/C.