Let \(E_{n} = \frac{- 1m e^{4}}{8 \varepsilon_{0}^{2}n^{2} h^{2}} \) be the energy of the \(n^\text{th}\) level of H-atom. If all the H-atoms are in the ground state and radiation of frequency \(\frac{\left(\right. E_{2} - E_{1} \left.\right)}{h}\) falls on it, then:

(a) it will not be absorbed at all.
(b) some of the atoms will move to the first excited state.
(c) all atoms will be excited to the \(n = 2\) state.
(d) no atoms will make a transition to the \(n = 3\) state.

Choose the correct option:
 
1. (b, d) 2. (a, d)
3. (b, c, d) 4. (c, d)