(a) (6 pts) suppose a system consists of n noninteracting, indistin guishable, identical particles and that each particle has available to it only two quantum electronic states, whose energies are 0 and a. find expressions for z, z and u. note: because we don 't consider translational energy here, so the 1/n! should be om itted when writing z in terms of z (b) (4 pts) for no, the ground electronic level and the first exited electronic level are each doubly deg enerate. the separation between these two electronic labels is 0.0149 ev. there are no other low-lying electronic levels. for no, calculate za at 150 k. note: lev 16022 * 101 j 9, (12 pts) (a) (3 pts) show that if the hamonic-oscillaor approximation is used, the fractional population of the diatomic-molecule vibrational level v is < n,> (b) (2 pts) show that z, n/ethr write downr in terms of concentration of b and c (b write downk too and [c, na a re, r, t, ma, mc ande rt2 find e d. (3 pts) using e and a.

The a metal retainer that keeps the rolling elements evenly spaced. n a. seal n b. separator n c. bearing n d outer race

Write the function getkthdigit(n, k) that takes a possibly-negative int n and a non-negative int k, and returns the kth digit of n, starting from 0, counting from the right

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.