Engineering Physics - Jun 2015

First Year Engineering (P Cycle) (Semester 1)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS (1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks. 1 (a) Write the assumption of quantum theory of radiation and deduce Rayleigh-Jeans law from Planck's law(5 marks) 1 (b) Give four important properties of meter waves(4 marks) 1 (c) Set up time independent Schrodinger wave equation in one dimension(7 marks) 1 (d) Calculate the energy in eV, for the first excited state of an electron in an infinite potential well of width 2A(4 marks) 10 (a) Define Match number, subsonic waves and supersonic waves(3 marks) 10 (b) Discuss the basics of conservation of mass, momentum and energy(9 marks) 10 (c) Explain the sol-gel method of preparing nanomaterials(4 marks) 10 (d) In a scanning electron microscope, electron are accelerated by an anode potential difference of 60 kilo volt. Estimate the wavelength of the electrons in the scanning beam(4 marks) 2 (a) State de Broglie hypothesis and show that the group velocity of the de Broglie waves of a particle is equal to the velocity of the particle(5 marks) 2 (b) State and explain Heisenberg uncertainty principle(5 marks) 2 (c) Explain in brief the properties of wave function. If the wave function of particle in an infinite potential box of width 'a' is Ψ=Bsin (n π x/a) where x is the position and it is the quantum number, find B(6 marks) 2 (d) The wavelength of fast neutron of mass 1.65× 10^-27 kg is 0.02 nm. Calculate the group velocity and the phase velocity of its de Broglie waves(4 marks) 3 (a) Obtain an expression for the conductivity of an metal from quantum mechanic considerations(6 marks) 3 (b) Show that the Fermi level of an intrinsic semiconductor lines in the middle of the forbidden energy gap.(5 marks) 3 (c) Explain the temperature dependence of resistivity of metal and state Matthiessen's rule.(5 marks) 3 (d) Calculate the probability of an electron occupying an energy level 0.02 eV above the Fe level at 300k(4 marks) 4 (a) Define the terms drift velocity, mean free path mean collision time and relaxation time.(4 marks) 4 (b) Explain Hall effect, Arrive at the equation for Hall coefficient in terms of Hall voltage current through the specimen(8 marks) 4 (c) Describe Maglev Vehicle(4 marks) 4 (d) Calculate the concentration at which the acceptor atoms must be added to a Germanium sample to get a p-type semiconductor with conductivity 0.15 per ohm-meter. Given the mobility of holes=0.17 m²/Vs(4 marks) 5 (a) Derive an expression for the radiant energy density under thermal equilibrium using Einstein's coefficients(7 marks) 5 (b) With suitable ray-diagram, explain the principle construction of a holographic images(5 marks) 5 (c) Give an account of point to point communication system using optical fibers(4 marks) 5 (d) The angle of acceptance of an optical fiber kept in air is 30, find the angle of acceptance when the fiber is in medium of refractive index 4/3(4 marks) 6 (a) Discuss the requisites and the conditions for a laser system.(6 marks) 6 (b) Define angle of acceptance and numerical aperture. Obtain an expression for the numerical aperture of an optical fiber.(6 marks) 6 (c) Explain measurement of pollutant in atmosphere using lasers(4 marks) 6 (d) A 5W pulsed laser emits light of wavelength 694 nm. If the duration of each pulse is 20ns, calculate the number of photons emitted per pulse(4 marks) 7 (a) Mention the geometrical configuration of the seven crystal system(7 marks) 7 (b) Sketch and describe the Perovskite structure(5 marks) 7 (c) Derive Bragg's equation(4 marks) 7 (d) The atomic radius of gold is 0.144nm. Determine the interplanar distance for (110) plane assuming that gold belongs to FCC system(4 marks) 8 (a) With the help of vector diagram explain the terms basis vectors lattice vector, interfacing angles and crystal parameters of a spade lattice.(6 marks) 8 (b) Derive an expression for interplanar distance in terms of Miller indices(5 marks) 8 (c) Define coordination number and packing factor. Compute the packing factor for BCC crystals(5 marks) 8 (d) In a calcite crystal, second order Bragg's reflection occur from planes with d-spacing 3A, at a glancing angle 24°. Calculate the path difference between x-rays reflected from the two adjacent planes. Also calculate the wavelength of the x-rays(4 marks) 9 (a) Define shock waves. Mention its properties(6 marks) 9 (b) What are nanomaterials? Outline the structure of carbon nano tube.(6 marks) 9 (c) What is scanning electron microscope? Mention its three applications(4 marks) 9 (d) The distance between the two pressure sensors in a shock tube is 100mm. The time taken by a shock wave to travel this this distance is 200 microsecond. If the velocity of sound under the same conditions is 340m/s, find the Match number of the shock wave(4 marks)