(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Ultraviolet light with a wavelength of 45.0nm shines on a gas of hydrogen atoms in their ground states. Some of the atoms are ionized by the light. What is the kinetic energy of the electrons that are freed in this process?

I found the kinetic energy right but for some reason I thought I was looking velocity and when I solve for velocity I get a number much larger then the speed of light

2. Relevant equations

k=.5mv^{2}

k=14eV

m=9.11*10^{-31}kg

3. The attempt at a solution

k=.5mv^{2}

v^{2}=2k/m

v=√(2*14/9.11*10^{-31})=5.54*10^{15}m/s

am I doing something wrong or is there some quantum equation needed

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# Velocity of Electron ionized from Hydrogen

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