Suppose That We Increase An $N$ -Atom Einstein Solid's Value Of $q=U / \varepsilon$

Multiple Choice

Suppose that we increase an $N$ -atom Einstein solid's value of $q=U / \varepsilon$ from $q$ to $q+1$ . By what factor does the value of its multiplicity $\Omega$ increase? (Choose whichever result is the closest, assuming that $q>>1$ and $N>>1$ .)

A) $q$
B) $3 N$
C) $q / 3 N$
D) $3 N / q$
E) $(q+3 N) / q$
F) $(q+3 N) /(q N)$