A blue-light photon has a wavelength of 4.80 × 10-7 meter. What is the energy of the photon?
The energy of a photon is
presented in the equation of E = hc/gamma where E is the energy of the photon,
hc is 1.99x10^-25 joules – meter and gamma is the wavelength of the photon. Since
you are given a blue-light photon with a wavelength of 4.80 × 10-7 meter, plug
in the values to the energy equation and you will get 4.15x10^-19 joules.
Answer:
\(Energy = 4.125 \times 10^{-19} J\)
\(Energy = 2.6 eV\)
Explanation:
As we know that energy associated with a photon is given by
\(Energy = \frac{hc}{\lambda}\)
here we know that
\(h = 6.6 \times 10^{-34}\)
c = speed of light
now we have
\(\lambda = 4.80 \times 10^{-7} m\)
now we will have
\(E = \frac{(6.6 \times 10^{-34})(3 \times 10^8)}{4.80 \times 10^{-7}}\)
\(E = 4.125 \times 10^{-19} J\)
now we can also convert it into electron volt
\(E = \frac{4.125 \times 10^{-19}}{1.6 \times 10^{-19}} = 2.6 eV\)