Diffraction effect of Josephson junction. Consider a junction of rectangular cross section with a magnetic field B applied in the plane of the junction, normal to an edge of width tw. Let the thickness of the junction be T. Assume for convenience that the phase difference of the two superconductors is m/2 when B 0. Show that the de current in the presence of the magnetic field is %3D sin(wTBelic) J-Jo (wTBelhe)

Consider the electron-hole overlap integral Mnn for a quantum well given by: Mn Pen (2) Pnn (z) dz. %3D - 00 n' and zerd (i) Show that Mon is unity if n otherwise in a quantum well with infinite barriers. (ii) Show that Mon is zero if (n-n') is an odd number in a quantum well with finite barriers.

A hydrogen isotope separator contains positively ionized hydrogen H^1, with isotope of hydrogen, Deuterium D^2, and other heavy particles, and the ions were released in a potential difference of 200 Volts. The strong magnetic field of 1.4x10^-2 Tesla (out of the page), bends the ions and Deuterium is collected on separate ionic trap as shown in the figure. (Masses MH1=1.67x10^-27 kg, MD2 = 2* MH1, Q(H1, D2) = 1.6x10^-19 C) What are the velocities of the Deuterium when exiting the plates, in unit of 10^5 m/s?

A hydrogen isotope separator contains positively ionized hydrogen H^1, with isotope of hydrogen, Deuterium D^2, and other heavy particles, and the ions were released in a potential difference of 200 Volts. The strong magnetic field of 1.4x10^-2 Tesla (out of the page), bends the ions and Deuterium is collected on separate ionic trap as shown in the figure. (Masses MH1=1.67x10^-27 kg, MD2 = 2* MH1, Q(H1, D2) = 1.6x10^-19 C. What is the potential energy of plates having the voltage difference of 200 Volts acting on Deuterium in unit of 10^-17 Joules?