Engineering FE Engineering Common Sem 1 Applied Physics Dec 2022 R19 Question Paper - Mumbai University | munotes

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Q1 Attempt any five
- a. Draw the following planes in a cubic unit cell (121), (100), 11
- b. The diameter of 5‘ dark ring in Newton’s ring experiment was found to be 0.42 cm. Determine the diameter of 10" dark ring in the same set up
- c. An electron is bound in a one-dimensional potential well of width 2 but of infinite height. Find its energy values in the ground state and in first excited state
- d. Define superconductivity and explain the terms critical temperature and critical magnetic field
- e. Find the resistivity of intrinsic germanium at 300 K. Given density of carriers is 2.5 x /m3, mobility of electrons is 0.39 m2/volt-sec and mobility of holes is 0.19 m?/volt-sec
- f. What are matter Waves? State three properties of matter waves
- g. Explain the formation of colours in thin film
Q2 a) State Hall Effect. Obtain an expression for Hall voltage. Calculate the mobility of charge carriers in a doped Si, whose conductivity is 100 per ohm meter and Hall coefficient is 3.6 x [8mks]
- b) Obtain an expression for Optical Path Difference in a thin film of uniform thickness observed in reflected light. Hence obtain conditions for maxima and minima. [7mks]
Q3 a) Explain with neat diagram the effect of doping and temperature on the fermi level in N type extrinsic semiconductor. What is the probability of an electron being thermally excited to the conduction band in Si at C. The band gap energy is 1.12 eV [8mks]
- b) Show that the energy of an electron in a one-dimensional deep potential well of infinite height varies as the square of the natural numbers. [7mks]
Q4 a) Explain Bragg’s spectrometer for the investigation of crystal structure with the help of a neat
- b) Derive one dimensional time dependent equation for matter waves. [Smks]
- c). White light is incident on a soap film at an angle sin(4/5) and the reflected light is observed with a spectroscope. It is found that two consecutive dark bands correspond to wavelength 6100 and 6000 A’ If the refractive index of the film is 4/3, calculate its thickness
Q5 a) Find the de Broglie wavelength of (i) an electron accelerated through a potential difference of 182 Volts and (ii) 1 Kg object moving with a speed of 1 m/s. Comparing the results, explain why is the wave nature of matter not apparent in daily observations? [Smks]
- b). Derive an expression for interplanar spacing in a cubic unit cell? [Smks]
- c) Explain the principle and working of Supercapacitors? [Smks]
Q6 a) Explain principle, construction and working of Light Emitting Diode?
- b). State Meissner’s effect. Show that superconductors exhibit perfect diamagnetism
- c). We wish to coat a flat slab of glass with refractive index 1.5 with a thinnest possible film of transparent material so that light of wavelength 600 nm incident normally is not reflected. We have two materials to choose from M; 1.21) and =1.6). Which one would be appropriate? What will be the minimum thickness of coating?

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