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- Write short notes on
- a) Ruby laser
- b) The He-Ne laser
- What do you mean by stimulated absorption, spontaneous emission, and stimulated emission? Explain population inversion and metastability of energy states.
- What is the UV catastrophe ? Explain Planck’s formulation which helps in explaining the emission of black bodies.
- Explain the de Broglie principle. Discuss the Davisson-Germer experiment and clearly give the physical interpretation of the results.
- Write down the Uncertainty principle and explain the principle with respect to the wave formalism and particle formalism. A hydrogen atom is 5.3 x 10-11 m in radius. Use the uncertainty principle to estimate the minimum energy an electron can have in this atom.
- Set up the Schrödinger’s equation for a particle trapped in a one-dimensional box. Obtain the energy eigenvalues and the normalized wavefunction. Discuss the physical significance of the energy eigenvalues and compare it with the classical picture.
- Write down the Maxwell’s equations in integral and differential form. Show that Ampere’s law is inconsistent with the continuity equation without the correction of Maxwell. Find the electric flux through the surface of a sphere containing 15 protons and 10 electrons.
- Derive the intensity distribution of a single-slit Fraunhofer diffraction pattern and derive the conditions for maxima and minima. Explain the limit of resolution—the Rayleigh criterion.
- For a double slit experimental scenario, derive the resultant intensity of interference when the waves are coming from the same source are monochromatic. Show when maxima, minima, and no interference occur.
- Define the fringe visibility and explain.
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