Answer:
[tex]E=2.04\times 10^{-18}\ J[/tex]
Explanation:
We need to find the energy for an electron to jump from n = 1 to n = 4.
The energy in transition from 1 state to another is given by :
[tex]E=\dfrac{-2.18\times 10^{-18}}{n^2}\ J[/tex]
The difference in energy for n = 1 to n = 4 is:
[tex]E=-2.18\times 10^{-18}\times (\dfrac{1}{4^2}-1)\\\\E=2.04\times 10^{-18}\ J[/tex]
So, the required energy is equal to [tex]2.04\times 10^{-18}\ J[/tex].