SYLLABUS

PART A

MODERN PHYSICS: Introduction to blackbody radiation spectrum, Planck’s radiation law, Photoelectric effect, Compton effect, Wave particle dualism, De-Broglie’s hypothesis, De-Broglie wavelength associated with the accelerated electron, Davisson-Germer experiment, Characteristic properties of matter waves, Phase velocity, Group velocity, Relation between group velocity and phase velocity, Relation between group velocity and particle velocity, Relation between velocity of light, group velocity and phase velocity, Expression for de-Broglie wavelength using group velocity
QUANTUM MECHANICS: Heisenberg’s uncertainty principle, Physical significance of Heisenberg’s uncertainty principle, Application of uncertainty principle-Non-existence of electron in the nucleus, Wavefunction, Properties of Wavefunction, Physical significance of wavefunction – Probability density and normalization of wavefunction, Setting up of a one dimensional, time independent Schrödinger wave equation, Eigen values and Eigen functions, Applications of Schrödinger wave equation, Energy eigen values for a free particle, Energy eigen value of a particle inside a potential well of infinite height.

PART B

CRYSTAL STRUCTURE: Space lattice, Basis, Bravais lattice, Unit cell, Primitive cell, Crystal systems, Direction and planes in a crystal, Lattice planes and Miller indices, Determination of Miller indices, Expression for interplanar spacing, coordination number, Atomic packing factor, Crystal structures of NaCl and Diamond, Bragg’s law, Braggis X-ray spectrometer.
MATERIAL SCIENCE: Nanomaterials, Nanomechanical bearings, Fabrication technology, molecular manufacturing, Carbon nanotubes, Scaling laws, Mechanical scaling – scaling of classical mechanical systems, Basic assumptions, Examples, Scaling of electromagnetic systems, Basic assumptions, Important corrections, Magnitudes and scaling - steady state systems, Magnitudes and scaling -Time dependent systems, Ultrasonics-Non-destructive testing of materials, Determination of velocity of ultrasonics in solids and liquids, Determination of elastic constants in solids and liquids.

Part B important questions

I

1. Explain the basic principles involved in laser action.
2. Explain the working of He-Ne laser.
3. Explain the working of semiconductor diode laser.
4. With neat sketches explain in brief recording of a hologram and reconstruction of images. Mention the applications of holography.
5. Discuss the applications of lasers.
6. Obtain an expression for energy density of photons in terms of Einstein’s coefficients.

II

1. Using total internal reflection concept, obtain an expression for the acceptance angle and numerical aperture in an optical fibre.
2. What is attenuation in optical fibre? Explain the attenuation mechanisms.
3. Explain with block diagram optical fibre communication system.
4. Explain meissner effect and distinguish between type I and type II superconductors.
5. Explain BCS theory of superconductivity.
6. Discuss three applications of superconductivity.

III

1. Define lattice point, bravais lattice, unit cell and primitive cell.
2. Explain with neat sketch the diamond crystal.
3. Explain with neat sketch the NaCl crystal.
4. What are miller indices?
5. Obtain the expression for Bragg’s law.
6. Explain how Bragg’s spectrometer can be used to determine the interplanar spacing.

IV

1. Write a brief note on carbon nanotubes.
2. Write a brief note on fabrication technology of nanomaterials.
3. Write a brief note on nanomechanical bearings.
4. Describe a method of measuring the velocity of ultrasonic waves in solids.
5. Explain how an acoustic grating is used to determine the velocity of ultrasonic waves in liquid.
6. Explain ultrasonic method of non-destructive testing.

Question 9

TUTORIAL SESSION 26-11-2008
MODEL QUESTION PAPER

MAXIMUM TIME: 1 HOUR MAXIMUM MARKS: 25
Answer any two questions

I (a) Obtain an expression for energy density of photons in terms of Einstein’s coefficients. (8 Marks)
(b) Explain the working of He-Ne laser. (4½ Marks)

II (a) Using total internal reflection concept, obtain an expression for the acceptance angle and numerical aperture in an optical fibre. (5 Marks)
(b) Explain BCS theory of superconductivity. (3 Marks)
(c) What is attenuation in optical fibre? Explain the attenuation mechanisms.
(4½ Marks)

III (a) What are miller indices? (3 Marks)
(b) Explain with neat sketch the NaCl crystal. (5 Marks)
(c) Explain how Bragg’s spectrometer can be used to determine the interplanar spacing. (4½ Marks)

IV (a) Write a brief note on fabrication technology of nanomaterials. (2½ Marks)
(b) Describe a method of measuring the velocity of ultrasonic waves in solids. (5 Marks)
(c)Explain how an acoustic grating is used to determine the velocity of ultrasonic waves in liquid. (5 Marks)

Question 10

MODEL QUESTION PAPER –SERIES TEST III

MAXIMUM TIME: 1 HOUR MAXIMUM MARKS: 25

Answer any 5 questions choosing atleast 2 questions from each part
PART A

1. Explain phase velocity, group velocity and particle velocity and write down the relation between them.
2. Show that electrons cannot exist in the nucleus of an atom.
3. State Mathiessien’s rule and give an account of the nature of total resistivity both at high and low temperatures.
4. What is the polarization produced in sodium chloride by an electric field of 600 Volts/mm if it has a dielectric constant of 6?

PART B

5. Describe with energy band diagram the construction and working of semiconductor diode laser.
6. The attenuation of an optical fibre is -3.6 dB/km. What is the fraction of light that remains 1) after 1 km 2) after 3km?
7. Explain with neat sketch the diamond crystal.
8. Describe a method of measuring the velocity of ultrasonic waves in solids.