The wavelength of a photon of energy 5.518 × 10-26 joules is 3.6 m. The energy of the photon is: E = h * f, where h is Planck's constant and f is the frequency. The frequency of the photon is: f = c/λ, where c is the speed of light and λ is the wavelength. Therefore: E = h * f = h * c / λ. We have that E = 5.518 × 10^-26 J; h = 6.626 × 10^-34 Js; c = 2.998 × 10^8 m/s. Substitute this in the formula for the energy of the photon: 5.518 × 10^-26 J = 6.626 × 10^-34 Js * 2.998 × 10^8 m/s / λ. 5.518 × 10^-26 J = 1.986 × 10^-25 Jm / λ. λ = 1.986 × 10^-25 Jm / 5.518 × 10^-26 J. λ = 0.36 × 10 m = 3.6 m.
Answer : The wavelength of a photon is, 3.6 m
Explanation :
[tex]E=\frac{h\times c}{\lambda}[/tex]
where,
E = energy of photon = [tex]5.518\times 10^{-26}J[/tex]
h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]
c = speed of light = [tex]2.998\times 10^{8}m/s[/tex]
[tex]\lambda[/tex] = wavelength of a photon = ?
Now put all the given values in the above formula, we get the wavelength of a photon.
[tex]5.518\times 10^{-26}J=\frac{6.626\times 10^{-34}Js\times 2.998\times 10^{8}m/s}{\lambda}[/tex]
[tex]\lambda=3.599m\approx 3.6m[/tex]
Therefore, the wavelength of a photon is, 3.6 m
