Section A
Q1.
(a) Use uncertainty principle to estimate the ground state energy of a linear harmonic oscillator.
(b) Consider an electron circulating around a proton (as shown in figure) in a circular orbit of radius, r. Assuming the motion of orbiting electron equivalent to an electrical current loop, find the expression for the ratio of magnetic moment to the angular momentum of the system and estimate the numerical value of this ratio.
(c) Electrons with energies of 1.0 eV and 2.0 eV are incident on a barrier 10.00 eV high and 0.50 nm (nanometer) wide. Calculate the ratio of their respective transmission probabilities across the barrier.