Hydrogen atom in its ground state is excited by means of monochromatic radiation of wavelength `970.6 Å`. How many lines are possible in the resulting emission spectrum ? Calculate the longest wavelength amongst them. You may assume that the ionisation energy for hydrogen atom is 13.6 eV. Given Planck's constant `= 6.6 xx 10^(-34)Js, " " c = 3 xx 10(8) ms^(-1)`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the energy of the monochromatic radiation
The energy \( E \) of the radiation can be calculated using the formula:
\[ E = \frac{hc}{\lambda} \]
where:
...