Calculate the electrostatic force and gravitational force between the proton and the electron in a hydrogen atom. They are separated by a distance of 5.3 x 10^–11 m. The magnitude of charges on the electron and proton are 1.6 x 10^–19 C. Mass of the electron is m_e = 9.1 x 10^–31 kg and mass of proton is m_p = 1.6 x 10^–27 kg.

A block of mass m carrying a positive charge q is placed on an insulated frictionless inclined plane as shown in the figure. A uniform electric field E is applied parallel to the inclined surface such that the block is at rest. Calculate the magnitude of the electric field E.

Discuss the various properties of conductors in electrostatic equilibrium.

Describe the microscopic model of current and obtain general form of Ohm’s law.

The repulsive force between two magnetic poles in air is 9 x 10^–3 N. If the two poles are equal in strength and are separated by a distance of 10 cm, calculate the pole strength of each pole.

The magnetic field shown in the figure is due to the current carrying wire. In which direction does the current flow in the wire?

Deduce the relation for the magnetic field at a point due to an infinitely long straight conductor carrying current using Biot-Savart law.

A straight conducting wire is dropped horizontally from a certain height with its length along east-west direction. Will an emf be induced in it? Justify your answer.

The current flowing in the first coil changes from 2 A to 10 A in 0.4 s. Find the mutual inductance between two coils if an emf of 60 mV is induced in the second coil. Also determine the magnitude of induced emf in the second coil if the current in the first coil is changed from 4 A to 16 A in 0.03 s. Consider only the magnitude of induced emf.

Give the advantage of AC in long distance power transmission with an illustration.

Pure water has refractive index 1.33. What is the speed of light through it?

Explain experimentally observed facts of photoelectric effect with the help of Einstein’s explanation.

(a) Show that the ratio of velocity of an electron in the first Bohr orbit to the speed of light c is a dimensionless number.
(b) Compute the velocity of electrons in ground state, first excited state and second excited state in Bohr atom model for hydrogen atom.

Discuss about the simple microscope and obtain the equations for magnification for near point focusing and normal focusing.

The output characteristics of a transistor connected in common emitter mode is shown in the figure. Determine the value of IC when V_CE = 15 V. Also determine the value of I_C when V_CE is changed to 10 V