A charge 'q' is placed on the diagonal AP of a cube at a distance $\frac{\mathrm{AP}}{3}$ from the point A. Choose the correct options.

(a) We can easily see that charge q is placed symetrically to surface ABCD, ABSR and ADQR.
Charge q is also placed symetrically to rest of the surfaces.
If the flux through the surface ABCD is x and through RSPQ is y then the total flux will be 3x + 3y
Now by Gauss law
Now by Gauss law
$\begin{array}{l}\frac{{\mathrm{q}}_{\mathrm{in}}}{{\mathrm{\epsilon }}_0}=\mathrm{\varphi }\\ \Rightarrow 3\mathrm{x}+3\mathrm{y}=\frac{\mathrm{q}}{{\mathrm{\epsilon }}_0}\\ \Rightarrow \mathrm{x}+\mathrm{y}=\frac{\mathrm{q}}{3{\mathrm{\epsilon }}_0}\end{array}$
(b) Flux through two surfaces are not same flux viaABCD is larger.
(a) $\frac{\mathrm{q}}{3{\mathrm{\epsilon }}_0}$ (b) Flux through two surfaces are not same flux via ABCD is larger.