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Answer: The wavelength of yellow light with the energy of [tex]3.45 \times 10^{-19} J[/tex] is [tex]5.76 \times 10^{-7} m[/tex].
Explanation:
Given: Energy = [tex]3.45 \times 10^{-19} J[/tex]
Formula used to calculate the wavelength is as follows.
[tex]E = \frac{hc}{\lambda}[/tex]
where,
E = energy
h = Planck's constant = [tex]6.63 \times 10^{-34} Js[/tex]
c = speed of light = [tex]3 \times 10^{8} m/s[/tex]
[tex]\lambda[/tex] = wavelength
Substitute the values into above formula as follows.
[tex]E = \frac{hc}{\lambda}\\3.45 \times 10^{-19} J = \frac{6.63 \times 10^{-34} Js \times 3 \times 10^{8} m/s}{\lambda}\\\lambda = 5.76 \times 10^{-7} m[/tex]
Thus, we can conclude that the wavelength of yellow light with the energy of [tex]3.45 \times 10^{-19} J[/tex] is [tex]5.76 \times 10^{-7} m[/tex].
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