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end semester examination first year ( second semester) Ap 102 (physics-2) Delhi technological university
Typology: Exams
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Time: 3:00hr Q1. [a] Write down time-dependent form of Schrodinger equation. Use this to obtain time-independent form of Schrodinger equation. (4) [b] What do you mean by matter wave? Show that a moving particle is equivalent to a wave packet rather than a single wave. (4) Q2. [a] Derive the equation that represents Poynting's theorem. What is its physical significance? (4) [b] A conducting medium of conductivity 5.0 mhos/m and dielectric constant 1.0 is placed in an external electric field E = 250 sin(10/01 ). Find the conduction and displacement current densities in the medium. Estimate the frequency at
which both the current densities will be equal. (80= 8.85 x 10 -12 F/m). (4) Q3. [a] Write Maxwell-Boltzmann molecular speed distribution formula. Use this to obtain the expressions for most probable speed, average speed and root mean square (rms) speed. Also, verify that rms speed of an ideal-gas molecule is about 9 % greater than its average speed. (4) [b] A gas has only two particles, a and b. Show with the help of diagrams how these two particles can be arranged in the three quantum series 1, 2 and 3 using (i) Maxwell-Boltzmann (ii) Fermi-Dirac (iii) Bose-Einstein statistics. (4) Q4. [a] Distinguish clearly the Maxwell-Boltzmann, Bose- Einstein and Fermi- Dirac statistics. (4) [b] Calculate the Fermi energy (in eV) for sodium, assuming that it has one free electron per atom. (Density of sodium = 0.97 g/cm", atomic weight of sodium = 23). (4)
[b] What is Einstein's relation in semiconductor physics? A semiconductor has a hole diffusion coefficient of 20 cm°/s. Estimate the hole mobility at room temperature (300 K). (k = 1.38x10-23 J/K). (4) ----END----