List of practice Questions

If the order of the matrix \( A \) is \( 3 \times 2 \), then the order of the matrix \( (A')' \) is:
State Gauss’s theorem. Using this theorem, derive electric field intensity due to thin uniformly charged infinite plane sheet.
Define capacitance. Derive capacitance of a parallel plate capacitor having dielectric slab between its plates.
With help of labelled diagram, write principle of astronomical telescope and derive expression for magnifying power of an astronomical telescope, when final image is formed at least distance of distinct vision.
What is interference of light? Derive an expression for the fringe width in the Young’s double slit experiment.
Relation \( R = \{(x, y) : x<y^2 \text{ where } x, y \in \mathbb{R}\} \) is:
Find the coefficient of mutual inductance of a pair of coils if a current of 3 A in one coil causes the flux in the second coil of 1000 turns to change by \( 10^{-4} \, \text{weber} \) in each turn.
What is total internal reflection? Write necessary conditions for it.
Define binding energy per nucleon. Draw and explain the curve between binding energy per nucleon and mass number.
With the help of a circuit diagram, explain the V-I characteristics of a PN junction diode in forward biasing.
A solenoid of length 0.5 m has a radius of 1 cm and is made up of 500 turns. It carries a current of 5 A. What is the magnitude of magnetic field inside the solenoid?
What do you mean by impedance of LCR series circuit? Derive an expression for it by using phasor diagram.
State Faraday’s law of electromagnetic induction.
Give any two uses of X-rays.
Write Einstein’s photoelectric equation.
Write any two differences between nuclear fission and nuclear fusion.
What is an equipotential surface? Show that no work is done in moving a given charge over an equipotential surface.
With a circuit diagram, explain how a meter bridge can be used to determine unknown resistance of a given wire.
Derive an expression for force per unit length between two parallel straight conductors carrying current in the same direction.
Photoelectric effect is not possible for the light of all frequencies. (T/F)
AC generator is based upon principle of electromagnetic induction. (T/F)
Power of a thick lens is smaller than the thin lens. (T/F)
Sustained interference is caused by the superposition of two waves coming from two coherent sources. (T/F)
What do you mean by quantization of charge?
Define Kirchhoff’s first and second law.