Problem $5$: $(11\%$ of Assignment Value$)$

Photoelectrons from a metal with a work function of $2\mathrm{.}74$ eV are ejected by photons with a wavelength of $405$ nm $.$

Once ejected, how long does it take the electrons with maximum kinetic energy to travel $2\mathrm{.}34$ cm to a detection device, in seconds? You may assume these electrons travel in a collisionless manner.