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JEE Main 20249 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2024 · 9 April · Evening Shift · Physics · Electrostatics

Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in...

Five charges +q,+5q,−2q,+3q+q,+5 q,-2 q,+3 q and −4q-4 q are situated as shown in the figure. The electric flux due to this configuration through the surface SS is : Five charges +q,+5 q,-2 q,+3 q and -4 q are situated as shown in the figure. The electric flux due to this

Options

  1. A4qϵ0\frac{4 q}{\epsilon_0}
  2. B5qϵ0\frac{5 q}{\epsilon_0}
  3. Cqϵ0\frac{q}{\epsilon_0}
  4. D3qϵ0\frac{3 q}{\epsilon_0}

Correct answer

A. 4qϵ0\frac{4 q}{\epsilon_0}

Step-by-step solution

As per gauss theorem, ϕ=qin ϵ0=q+(−2q)+5qϵ04qϵ0\begin{aligned}& \phi=\frac{\mathrm{q}_{\text{in }}}{\epsilon_0}=\frac{\mathrm{q}+(-2 \mathrm{q})+5 \mathrm{q}}{\epsilon_0} \\ & \frac{4 \mathrm{q}}{\epsilon_0}\end{aligned}
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