State Heisenbergs uncertainity principle. Using uncertainity principle explain the non-existence of electron in the nucleus. Set up time independent Schrodinger wave oquation for free particle in one-dimesion using complex variables. Write the expresson for zero poirk ener8y d. A particle moving in one-dimension box is described by the wave function.

Find the probability of finding the particle wihin the interval 0. a. Choose your answers for the following ) In classical froe electron theory, the electrie field due to ion cores. A) is neglected C) is assumed to be costant B) is assumed to be periodic D) None of these i) Mobility of cectron is A) reciprocal of electrical conductivity B) acceleration of elkctron per unit eke. field C) average drift velocity per unk electric fiekd D) None of these ii) IfE is the Fermi energy at absolute zero, then mean energy of the electron at absolute zero is A) E15Ep BE-B oE- D - iv) The resistivity of metals is due to scattering of electron by A) phonons C) impurikies b. Explain the terms ) Relaxation time; ) Mean collision time; ii) Drift velociky c. Define Fermi energy Discuss the Fermi factor fo) for cases E < E, E> Ep at T-0. E -E at T0. d. Cakulate the conduuctivity of sodium given T 2 x 10 "S. Density of sodium is 971 kg/m ts atomic weight is 23 and has one conduction electronvatom. B) lattice imperfection D) All of these