Calculate the electric field due to a dipole on its axial line and equatorial plane.

Obtain the expression for energy stored in the parallel plate capacitor.

Explain the equivalent resistance of a series and parallel resistor network.

Explain the determination of unknown resistance using meter bridge.

Show that for a straight conductor, the magnetic field
\(\overset { \rightarrow }{ B } =\frac { { \mu }_{ ° }I }{ 4\pi a } (cos\varphi _{ 1 }-cos\varphi _{ 2 })\hat { n } \)
\(=\frac { { \mu }_{ ° }I }{ 4\pi a } (sin{ \theta }_{ 1 }+sin{ \theta }_{ 2 })\hat { n } \)

What is tangent law? Discuss in detail.

Define self-inductance of a coil interms of
(i) magnetic flux and
(ii) induced emf.

Mention the various energy losses in a transformer.

Explain the Maxwell’s modification of Ampere’s circuital law.

Explain the types of absorption spectrum.

Describe the Fizeau’s method to determine the speed of light.

Derive the equation for angle of deviation produced by a prism and thus obtain the equation for refractive index of material of the prism.

Explain why photoelectric effect cannot be explained on the basis of wave nature of light.

Derive an expression for de Broglie wavelength of electrons.

Explain the J.J. Thomson experiment to determine the specific charge of electron.

Discuss the alpha decay process with example.

Discuss the applications of Nanomaterials in various fields.

Discuss the experiment to determine the wavelength of different colours using diffraction grating.

Mention different parts of spectrometer and explain the preliminary adjustments.

Give circuit symbol, logical operation, truth table, and Boolean expression of
i) AND gate
ii) OR gate
iii) NOT gate
iv) NAND gate
v) NOR gate and
vi) EX-OR gate.

Describe the function of a transistor as an amplifier with the neat circuit diagram. Sketch the input and output wave forms.

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge \(\frac{Q}{2}\) is placed at the centre C and another is placed at the centre C and another a distance x from the centre as shown in the figure.

(i) Find the electric flux through the shell.
(ii) Find the force on the charges at C and A.

Two charges each of +q coulomb are placed along a line. A third charge -q is placed between them. At what position will the system be in equilibrium?

The current through an element is shown in the figure. Determine the total charge that pass through the element at a) t = 0 s, b) t = 2 s, c) t = 5s

Let I₁ and I₂ be the steady currents passing through a long horizontal wire XY and PQ respectively. The wire PQ is fixed in horizontal plane and the wire XY be is allowed to move freely in a vertical plane. Let the wire XY is in equilibrium at a height d over the parallel wire PQ as shown in figure.

Show that if the wire XY is slightly displaced and released, it executes Simple Harmonic Motion (SHM). Also, compute the time period of oscillations.

A ray of light falls on a transparent sphere with centre C as shown in the figure. The ray emerges from the sphere paralled to the line AB. Find the angle of refraction at A if refraction index of the material of the sphere is \(\sqrt { 3 } \). 

For photo electronic effect in sodium, the figure shows the plot of cut-off voltage versus frequency of incident radiation. Calculate
(i) threshold frequency
(ii) work function for sodium.

Write the advantages of Robotics than the human.

A long solenoid with 20 turns per cm has a small loop of area 2cm² placed inside the solenoid normal to its axis. If the circuit carried by the solenorid changes steadily from lA to 3A in 0.2s. What is the-induced emf in the loop while the current is changing.

A plane Electromagnetic wave travels in vacuum along z - direction. What can you say about the directions of electric and magnetic field vectors? If the frequency of the wave is 30 MHz. What is its wavelength?