When an electron makes a transition from the \(n=4\) to the \(n=2\) hydrogen atom
Bohr orbit, the energy difference between these two orbits \(\left(4.1 \times
10^{-19} \mathrm{~J}\right)\) is emitted as a photon of light. The relationship
between the energy of a photon and its wavelength is given by \(E=h c /
\lambda\), where \(E\) is the energy of the photon in \(\mathrm{J}, h\) is Planck's
constant \(\left(6.626 \times 10^{-34} \mathrm{~J} \cdot \mathrm{s}\right)\),
and \(c\) is the speed of light \(\left(3.00 \times 10^{8} \mathrm{~m} /
\mathrm{s}\right)\). Find the wavelength of light emitted by hydrogen atoms
when an electron makes this transition.