A charge q is enclosed by a spherical Gaussian surface of radius R. If the radius of the sphere is doubled, how will the outward electric flux change?

Remains the same

The correct answer is Option (4) → Remains the same

The outward flow through a spherical gaussian surface is -

$\phi_E=\frac{q}{ε_0}$

∴ if the radius of the sphere is doubled, the surface area increases, but flux remains same as flux remains unchanged.