List of practice Questions

Define second's pendulum. Derive a formula for the length of second's pendulum. A particle performing linear S.H.M. has maximum velocity 25 cm/s and maximum acceleration 100 cm/s². Find period of oscillations.
Explain de Broglie wavelength. Obtain an expression for de Broglie wavelength of wave associated with material particles. The photoelectric work function for a metal is 4.2 eV. Find the threshold wavelength.
A parallel plate capacitor filled with air has an area of 6 cm² and plate separation of 3 mm. Calculate its capacitance.
An emf of 91 mV is induced in the windings of a coil, when the current in a nearby coil is increasing at the rate of 1.3 A/s, what is the mutual inductance (M) of the two coils in mH?
Two cells of emf 4V and 2V having respective internal resistance of 1 Ω and 2 Ω are connected in parallel, so as to send current in the same direction through an external resistance of 5 Ω. Find the current through the external resistance.
Derive an expression for a pressure exerted by a gas on the basis of kinetic theory of gases.
Derive an expression for emf (\( e \)) generated in a conductor of length (\( l \)) moving in uniform magnetic field (\( B \)) with uniform velocity (\( v \)) along x-axis.
Derive an expression for terminal velocity of a spherical object falling under gravity through a viscous medium.
Determine the shortest wavelengths of Balmer and Paschen series. Given the limit for Lyman series is 912 Å.
Calculate the value of magnetic field at a distance of 3 cm from a very long, straight wire carrying a current of 6A.
With the help of a neat diagram, explain the reflection of light on a plane reflecting surface.
What is magnetization, magnetic intensity, and magnetic susceptibility?
Prove that the frequency of beats is equal to the difference between the frequencies of the two sound notes giving rise to beats.
Define:
(a) Inductive reactance
(b) Capacitive reactance
(c) Impedance
Plane wavefront of light of wavelength 6000 Å is incident on two slits on a screen perpendicular to the direction of light rays. If the total separation of 10 bright fringes on a screen 2 m away is 2 cm, find the distance between the slits.
Eight droplets of water each of radius 0.2 mm coalesce into a single drop. Find the decrease in the surface area.
A 0.1 H inductor, a 25 × 10\(^{-6}\) F capacitor, and a 15 Ω resistor are connected in series to a 120 V, 50 Hz AC source. Calculate the resonant frequency.
The difference between the two molar specific heats of a gas is 9000 J/kg K. If the ratio of the two specific heats is 1.5, calculate the two molar specific heats.
What are harmonics and overtones (Two points)?
Distinguish between potentiometer and voltmeter.
What are mechanical equilibrium and thermal equilibrium?
An electron in an atom is revolving round the nucleus in a circular orbit of radius 5.3 × 10\(^{-11}\) m with a speed of 3 × 10\(^6\) m/s. Find the angular momentum of electron.
Define moment of inertia of a rotating rigid body. State its SI unit and dimensions.
What are polar dielectrics and non-polar dielectrics?
What is a thermodynamic process? Give any two types of it.