Four distinguishable molecules are distributed in energy level E1 and E2 with degeneracy of 2 \& 3 respectively . Number of microstates with 3 molecules in in energy level E1 and E2 is
(a)4
(b)12
(c)96
(d)192
Answer
Answer (as printed): C
Explanation
For distinguishable particles, $W=N!\displaystyle\prod_{i}\dfrac{g_{i}^{n_{i}}}{n_{i}!}$$W=4!\dfrac{g_{0}^{n_{0}}}{n_{0}!}\times\dfrac{g_{1}^{n_{1}}}{n_{1}!}=4!\times\dfrac{2^{3}}{3!}\times\dfrac{3^{1}}{1!}=96$