Q76 / 100 · BITSAT 2024 (Memory Based Paper 1) · Physics

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 configuration through the surface S is : Figure

  • A
    $\frac{5 q}{\epsilon_0}$
  • Correct answer
    B
    $\frac{4 q}{\epsilon_0}$
  • C
    $\frac{3 q}{\epsilon_0}$
  • D
    $\frac{q}{\epsilon_0}$

Solution

Using Gauss's law, $\phi=\frac{q}{\epsilon_0}$ Here, $\mathrm{q}=$ charge inside the closed surface $\therefore \phi=\frac{q+(-2 q)+5 q}{\epsilon_0}$ $\Rightarrow \phi=\frac{4 q}{\epsilon_0}$

Hence, the correct answer is option: 'B'.

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