Assignment - I

        

1.      Electrons are in random motion. Bring out the kinetic energy of electrons.

2.      Define the velocity of the electrons in the presence of electric field.

3.      If  U= 3/2 RT is the kinetic energy  then, the specific heat capacity C , defined as rate of change of kinetic energy with respect to temperature is ?

4.      Use the Fermi distribution function to obtain the value of F(E) for E-EF = 0.01eV at 200 K.

5.      Calculate the drift velocity of electrons in copper if the current density is 497.3 x 10⁴A/m².Given  n =8.46x10²⁸/m³.

6.      The resistivity of the copper at 20 degree celcius is 1.69 x 10^-8 ohm-m and density of electrons n= 8.5 x 10 ²⁸ m³. Calculate the relaxation time for the electrons.

7.      Define Fermi energy level at non zero Kelvin

8.      What is the failure of Classical theory in  terms of specific heat capacity of metals?

9.      What are the draw backs of quantum free electron theory?

10.  What is Fermi level in semiconductors?