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WBJEE · Physics · Electrostatics

In a region, the intensity of an electric field is given by \(\mathbf{E}=2 \mathbf{i}+3 \mathbf{j}+\mathbf{k}\) in \(\mathrm{NC}^{-1}\). The electric flux through a surface \(\mathbf{S}=10 \mathbf{i} \mathrm{m}^{2}\) in the region is

  1. A \(5 \mathrm{Nm}^{2} \mathrm{C}^{-1}\)
  2. B \(10 \mathrm{Nm}^{2} \mathrm{C}^{-1}\)
  3. C \(15 \mathrm{Nm}^{2} \mathrm{C}^{-1}\)
  4. D \(20 \mathrm{Nm}^{2} \mathrm{C}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(20 \mathrm{Nm}^{2} \mathrm{C}^{-1}\)

Step-by-step Solution

Detailed explanation

Given \(\mathbf{E}=(2 \mathbf{i}+3 \mathbf{j}+\mathbf{k}) \mathrm{NC}^{-1}\) and \(\quad \mathrm{S}=10 \mathrm{i} \mathrm{m}^{2}\) We know that…