Consider an 3-dimensional ideal bose gas system whose dispersion relation is given by h2k2 e hw 2m
a) find the mean occupation number of quantum state with a wave vector k.
b) find the total number of particles n_{1} at excited states and internal energy u (t at temperature t and express it in terms of bose-einstein integral gn(z; and thermal wave length h2 1/2 2tmkbt t(

The earth's magnetic field, with a magnetic dipole moment of 8.0×1022am2, is generated by currents within the molten iron of the earth's outer core. suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter “wire.” the loop diameter is measured from the centers of this very fat wire.to decide whether this is a large or a small current density, compare it to the current density of a 7.0 a current in a 2.0-mm-diameter wire.