The electric flux from cube of side 1 ~m is ' ' When the side of the cube is made 3 ~m and the charge enclosed by the cube is made one third of the original value, then the flux from the bigger cube will be :

Step-by-step solution

According to Gauss Law, the electric flux through a closed surface is given by = q_ enclosed ₀ , where q_ enclosed is the total charge enclosed by the surface. The initial flux is = q ₀ , where q is the initial charge enclosed. When the side of the cube is changed to 3 m , the size of the cube does not affect the total flux, as flux depends only on the enclosed charge. The new charge enclosed is q' = q 3 . The new flux ' is given by ' = q' ₀ = q/3 ₀ = 1 3 ( q ₀ ) = 3 . Answer: 3