JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Two point charges \(8 \, \mu C\) and \(-2 \, \mu C\) are located at \(x = 2\) cm and \(x = 4\) cm, respectively on the \(x\)-axis. The ratio of electric flux due to these charges through two spheres of radii \(3\) cm and \(5\) cm with their centers at the origin is _______.
- A \(4 : 1\)
- B \(3 : 4\)
- C \(4 : 3\)
- D \(4 : 5\)
Answer & Solution
Correct Answer
(C) \(4 : 3\)
Step-by-step Solution
Detailed explanation
According to Gauss's law, the electric flux through a closed surface is given by \(\Phi = \dfrac{q_{\text{enclosed}}}{\varepsilon_0}\). For the first sphere of radius \(r_1 = 3\) cm centered at the origin, only the charge at \(x = 2\) cm is enclosed.…
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