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CUET · PHYSICS · PYQ PAPER 2025

A charge q is placed at the centre of a sphere of radius r. The electric flux crossing the sphere is \( \Phi \). If both the charge and radius of the sphere are doubled, the electric flux crossing the sphere will be

  1. A \( \Phi \) only
  2. B \( 2\Phi \)
  3. C \( 4\Phi \)
  4. D \( 8\Phi \)
Verified Solution

Answer & Solution

Correct Answer

(B) \( 2\Phi \)

Step-by-step Solution

Detailed explanation

\( \Phi = \frac{q}{\epsilon_0} \) \( q' = 2q \) \( \Phi' = \frac{q'}{\epsilon_0} = \frac{2q}{\epsilon_0} = 2\Phi \)
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