MHT CET · Physics · Electrostatics
The electric flux over a sphere of radius ' \(r\) ' is ' \(\phi\) '. If the radius of the sphere is doubled without changing the charge, the flux will be
- A \(4 \phi\)
- B \(2 \phi\)
- C \(\phi\)
- D \(\frac{\phi}{2}\)
Answer & Solution
Correct Answer
(C) \(\phi\)
Step-by-step Solution
Detailed explanation
Using Gauss's law, \(\phi=\frac{q}{\varepsilon_0}\)
\(\Rightarrow \phi \propto q\)
\(\therefore \frac{\phi_2}{\phi}=\frac{q}{q}\)
\(\therefore ~\ldots\)(charge q is kept the same)
\(\Rightarrow \phi \propto q\)
\(\therefore \frac{\phi_2}{\phi}=\frac{q}{q}\)
\(\therefore ~\ldots\)(charge q is kept the same)
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