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electronic prop problem set 1

electronic prop problem set 1 - PH-102(Physics B Tech I...

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1. Calculate the mean free path of potassium, if its Fermi energy is eV 1 . 2 and the electrical conductivity is 1 -1 7 ohm 10 5 . 1 - × m . [Ans. nm 2 . 33 ] 2. Copper has a mass density of 3 3 / 10 95 . 8 m Kg × and electrical conductivity 1 1 7 10 4 . 6 - - × m ohm at room temperature. Calculate the mean free time, Fermi energy, Fermi velocity and mean tree path at the Fermi level. The atomic weight of copper is 54 . 63 . [Ans. nm ms eV s 9 . 41 , 10 57 . 1 , 0 . 7 , 10 67 . 2 1 6 14 - - × × ] 3. The relaxation time of conduction electron in copper is 14 10 5 . 2 - × sec. Find the thermal conductivity of copper at C o 0 . Assume density of electrons to be 3 28 / 10 5 . 8 m × . [Ans. 1 1 41 . 399 - - K Wm ] 4. The electrical conductivity of iron at C o 0 is 1 1 5 10 04 . 1 - - × cm ohm . Calculate the thermal conductivity of iron at C o 0 . [Ans. 1 1 56 . 69 - - K Wm ] 5. A rod of p-type Ge 10 mm long and 1 mm diameter has a resistance of 100 Ohm at 0 K. Calculate the concentration of impurity in it given that μ p = 0.19 m 2 /Vs. [Ans. 4.17x10 21 /m 3 ] 6. A uniform silver wire has a resistivity of 1.54 x 10 -8 Ωm at room temperature. For an electric field along the wire of 1 V/cm, compute the average drift velocity of the electrons, assuming that there are 5.8 x 10 28
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