Use a computer to plot formula directly, as follows. Define z = qA/q, so that (1 – z) = qB/b Then, aside from an overall constant that we’ll ignore, the multiplicity function is [4z(1 – z)]N, where z ranges from 0 to 1 and the factor of 4 ensures that the height of the peak is equal to 1 for any N. Plot this function for N = 1, 10, 100, 1000, and 10,000. Observe how the width of the peak decreases as N increases.
Solution to 21P
In this question, we need to plot the multiplicity function for N=1,10,100,1000,10000.
Multiplicity function is given by . It is a function of qA, qB and N.
qA and qB are number of energy units
N=Number of oscillators
Solving it we get,
So we need to plot the function,
which will give us the gaussian curve.