CSS Physics Paper II Past Paper 2022

An electric dipole, comprising a positive charge $q$ and a negative charge $-q$, is placed on the x-axis. Each charge is at the same distance from the origin. The total separation between the charges is $2a$.Calculate the electric field $E$ due to these charges along the y-axis at the point P, which is at a distance y from the origin. Assume $y \gg a$ ($\varepsilon_{o} = 8.85 \times 10^{-12}\ C^{2}N^{-1}m^{-2}$).

Write down a mathematical expression to evaluate electric field $E$ at a distance $r$ from the source charge $Q$ in vector form. Sketch the graph of $E$ as a function of $r$.

Define electric field and a dipole.

Discuss photoelectric effect and establish Einstein’s equation for the photoelectric effect.

Describe the inadequacy of the wave theory of light to explain the effect.

A photon of energy 12 eV falls on a certain metal plate whose work function is 4.15 eV. Find the stopping potential. The mass and charge of electron are $9.11 \times 10^{-31} kg$ and $1.6 \times 10^{-19} C$ respectively and the value of Planck’s constant is $6.64 \times 10^{-34}\ J \times$ s.

Discuss intrinsic and extrinsic semiconductors.

Describe the properties of diamagnetic, paramagnetic and ferromagnetic materials.

Briefly discuss the Landé g factor.

Four charged particles of charge $q$, $2q$, $3q$ and $4q$ are at the corners of a square of side ‘$a$’ arranged in counter clockwise direction. Determine (i) the electric field at the location of charge $q$ and (ii) the total electric force exerted on $q$.

A parallel plate capacitor has a plate separation of 1 mm. Calculate the surface area of each plate of the capacitor to obtain a capacitance of 1F. Is it possible to produce such a capacitor in the lab? Comment. ($\varepsilon_{o} = 8.85 \times 10^{-12}\ C^{2}N^{-1}m^{-2}$).

Define

Set up the Schrodinger wave equation for a particle of mass $m$ confined in a one-dimensional box which has perfectly rigid walls at $x = 0$ and $x = L$. Solve the differential equation to find the expressions for energy and the eigen wave functions of the particle.

Sketch the graphs for the first three eigen wave functions $\psi_{1}$, $\psi_{2}$ and $\psi_{3}$.

Plot the graphs for the probability densities corresponding to $\psi_{1}$, $\psi_{2}$ and $\psi_{3}$.

Discuss the motion of a charged particle of mass $m$, charge $q$ and velocity $\boldsymbol{v}$ in a magnetic field $B$ which is directed into the plane of paper.

Discuss atomic description of dielectrics.

Let $x$ be the separation between the parallel plates of a capacitor of capacitance $C$ in the absence of a dielectric material. A slab of a material of dielectric constant $\gamma$ and thickness $\frac{1}{3}x$ is placed between the plates. Calculate the capacitance in the presence of the dielectric material.

Discuss the properties of three subatomic particles and their corresponding antiparticles.

Explain in detail, how $\gamma$- radiation can be detected?

How can we prove that an electron does not exist in the nucleus of an atom?