Consider a uniformly charged solid cylinder of large length and radius $R.$ Now consider a cylindrical surface of radius $2R$ and length $2R$ coaxial with cylinder and electric flux through cylindrical surface is ${\varphi }_0.$ Now consider a spherical surface of radius $2R$ and one of the diameter along axis of cylinder and electric flux through spherical surface is $\varphi .$ Find $10\frac{\varphi }{{\varphi }_0}$ to the nearest integer.

Consider a region in free space bounded by the surfaces of an imaginary cube having sides of length $a$ as shown in the figure. A charge $+Q$ is placed at the centre $O$ of the cube. $P$ is such a point outside the cube that the line $OP$perpendicularly intersects the surface $ABCD$ at $R$ and also $OR=RP=a/2$. A charge $+Q$ is placed at point $P$ also. What is the total electric flux through the five faces of the cube other than $ABCD?$

Arrangement of charges are shown in the figure. Flux linked with the closed surface $P$ and $Q$ respectively are ________ and ________ .

Given below are two statements
Statement $\mathrm{I}$ : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero, but the electric field is not zero anywhere in the sphere.

Statement $\mathrm{II}$ : If $R$ is the radius of a solid metallic sphere and $Q$ be the total charge on it. The electric field at any point on the spherical surface of radius $r\left(<R\right)$ is zero but the electric flux passing through this closed spherical surface of radius $r$ is not

In the light of the above statements, choose the correct answer from the options given below:

The following figure shows two point charges $+q$ and $-q$ and a metal rod of length $L$ carrying a charge $-q$ with a part $\frac{L}{3}$ of its length inside a cubical box. The electric flux linked with the box will be,