A point charge causes an electric flux of `-1.0xx10^(3) N m^(2)//C` to pass through a spherical Gaussian surface of 10.0 cm radius centred on the charge. (a) If the radius of the Gaussian surface were doubled, how much flux would pass through the surface ? (b) What is the is the value of the point charge ?

Options

A. `-1.0 xx 10^(3) Nm^(2)//C`
B. `-2.0 xx 10^(3) Nm^(2)//C`
C. `-3.0 xx 10^(3) Nm^(2)//C`
D. `-4.0 xx 10^(3) Nm^(2)//C`

Answer

A

Explanation

Here, `phi_(E) = -1.0 xx 10^(3) Nm^(3) Nm^(2)//C, r = 10.0 cm` If the radius of Gaussian surface was doubled, flux passing through the surface would remain the same. This is because flux depends only on charge present inside the surface.