Electrostatics
- State and explain Gauss’s theorem. Derive an expression for the electric field due to an infinitely long charged wire using Gauss’s law.
- Derive the expression for the capacitance of a parallel plate capacitor with and without a dielectric medium.
- Define electric flux and write its SI unit.
- Two charges +q and −q are placed at a distance 2d2d2d apart. Find the electric field at the equatorial point.
Current Electricity
- State and derive Ohm’s law using the concept of drift velocity.
- Explain the color coding of resistors with an example.
- Derive an expression for the equivalent resistance in a series and parallel combination of resistors.
- What is Wheatstone’s bridge? Derive the condition for balance in the bridge.
- Define electromotive force (EMF) and terminal voltage. Explain why the terminal voltage is always less than EMF.
magnetism & Moving Charges
- State and explain Biot-Savart’s law. Derive an expression for the magnetic field at the center of a current-carrying circular loop.
- Derive an expression for the force experienced by a charged particle moving in a uniform magnetic field.
- Derive an expression for the magnetic field along the axis of a current-carrying solenoid.
- State and explain Ampere’s Circuital Law.
Electromagnetic Induction & Alternating Current
- State and explain Faraday’s laws of electromagnetic induction.
- Derive an expression for self-inductance of a solenoid.
- Derive an expression for the impedance in an LCR circuit.
- What is power factor? How does it affect power consumption in an AC circuit ?
Electromagnetic Waves & Optics
- Derive an expression for fringe width in Young’s double-slit experiment.
- What is total internal reflection? Explain with the help of optical fibers.
- What is resolving power? Derive an expression for the resolving power of a telescope.
- Explain the principle of polarisation and mention its applications.
- Derive prism formula.
- State Huygens principle.
- Lens makers formula.
Modern Physics
- Derive the expression for the de Broglie wavelength of a particle.
- What is the photoelectric effect? Explain Einstein’s photoelectric equation.
- Draw and explain the I-V characteristics of a PN junction diode.
- Explain the working of a transistor as an amplifier.
Nuclei & Semiconductor Devices
- Explain nuclear fission and nuclear fusion with suitable examples.
- What are logic gates? Draw the truth tables for AND, OR, NOT, NAND, and NOR gates.
- What is rectification? Explain the working of a full-wave rectifier with a labelled diagram.
