MCQMediumJEE Main 2025 · 22 January, Shift 1Gauss's Law Applications

Physics Question from JEE Main 2025 · 22 January, Shift 1

A line charge of length a2\frac{a}{2} is kept at the center of an edge BC of a cube ABCDEFGH having edge length aa. If the density of the line is λC\lambda \, \text{C} per unit length, then the total electric flux through all the faces of the cube will be : (Take ε0\varepsilon_0 as the free space permittivity)

Cube ABCDEFGH with vertices labeled A, B, C, D, E, F, G, H, and a short line charge segment drawn at the center of edge BC.
  • A

    λa8ε0\frac{\lambda a}{8 \varepsilon_0}

  • B

    λa16ε0\frac{\lambda a}{16 \varepsilon_0}

  • C

    λa2ε0\frac{\lambda a}{2 \varepsilon_0}

  • D

    λa4ε0\frac{\lambda a}{4 \varepsilon_0}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Gauss's Law Applications questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions