MHT CET · Physics · Electrostatics
Four charges \(2 \mu \mathrm{C},-3 \mu \mathrm{C}, 4 \mu \mathrm{C},-4 \mu \mathrm{C}\) and \(-1 \mu \mathrm{C}\) are enclosed by the Gaussian surface of radius 2 m . Net outward flux through the Gaussian surface is (in \(\mu \mathrm{V}-\mathrm{m}\) ) \(\left[\epsilon_0=\right.\) permittivity of free space \(]\)
- A \(\frac{2}{\epsilon_0}\)
- B zero
- C \(\frac{3}{\epsilon_0}\)
- D \(\frac{5}{\epsilon_0}\)
Answer & Solution
Correct Answer
(A) \(\frac{2}{\epsilon_0}\)
Step-by-step Solution
Detailed explanation
\(Q_{enc} = (2 - 3 + 4 - 4 - 1) \, \mu \mathrm{C} = -2 \, \mu \mathrm{C}\) \(\Phi = \frac{|Q_{enc}|}{\epsilon_0} = \frac{|-2|}{\epsilon_0} = \frac{2}{\epsilon_0}\)
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