Electric Charges and Fields Set-1

Q1. . Two point charges placed in a medium of dielectric constant 5 are at a distance $r$ between them, experience an electrostatic force 'F'. The electrostatic force between them in vacuum at the same distance $r$ will be:

Q2. In an experiment three microscopic latex spheres are sprayed into a chamber and became charged with charges $+3e$, $+5e$ and $-3e$ respectively. All the three spheres came in contact simultaneously for a moment and got separated. Which one of the following are possible values for the final charge on the spheres?

Q3. Two point charges $+8q$ and $-2q$ are located at $x=0$ and $x=L$ respectively. The point on $x$-axis at which net electric field is zero due to these charges is:

Q4. The electric potential $V$ at any point $(x, y, z)$ is given by $V = 3x^2$ where $x$ is in metres and $V$ in volts. The electric field at the point $(1\text{m}, 0.2\text{m})$ is:

Q5. Assertion (A): On going away from a point charge or a small electric dipole, electric field decreases at the same rate in both the cases.
Reason (R): Electric field is inversely proportional to square of distance from the charge or an electric dipole.

Q6. The electric field at $r = R$ (for a non-uniformly distributed nuclear charge $Z e$ within nucleus radius $R$) is:

Q7. The electric field within the nucleus is generally observed to be linearly dependent on $r$. This implies:

Q8. Electric field intensity at point $P$ due to charge distributed over a sphere is:

Q9. When point $P$ is inside a conducting spherical shell:

Q10. Which statement is true for Gauss's law: