Q. A point charge causes an electric flux of $- 1.0 \times 10^{3}Nm^{2}C^{- 1}$ to pass through a spherical Gaussian surface of $10.0\ cm$ radius centred on the charge. If the radius of the Gaussian surface were three times, how much flux would pass through the surface
A) $3.0 \times 10^{3}Nm^{2}/C$
B) $- 1.0 \times 10^{3}Nm^{2}/C$
C) $- 3.0 \times 10^{3}Nm^{2}/C$
D) $- 2.0 \times 10^{3}Nm^{2}/C$
Explanation
(b) According to Gauss’s theorem Electric flux through a closed surface $S = q/\varepsilon_{0}$
Where $q =$ total charge enclosed by $S$
Electric flux pass through the spherical Gaussian surface is independent on the radius of a gaussian surface but depends on the charge enclosed by a gaussian surface. On increasing the radius of gaussian surface remain the same. Therefore, the electric flux pass through the gaussian surface remains the same
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.