Chapter 9, Problem 103E

When an electron makes a transition from $n=3$

to the $n=2$

hydrogen atom Bohr orbit, the energy difference between these two orbits $\left(3.0\times {10}^{-19}\text{J}\right)$

is emitted as a photon of light. The relationship between the energy of a photon and its wavelength is given by $E=hc/\lambda$

where E is the energy of the photon in j, h is Plank’s constant $\left(6.626\times {10}^{-34}\text{J}\text{.s}\right)$, and c is the speed of light $\left(3.00\times {10}^8\text{m}/\text{s}\right)$. Find the wavelength of light emitted by hydrogen atoms when an electron makes this transition.