Answer:
Energy of a single photon with the given wavelength is [tex]E=3.32\times 10^{-19}\ J[/tex]
Explanation:
It is given that,
The wavelength of yellow light, [tex]\lambda=6\times 10^{-7}\ m[/tex]
The equation that gives the relationship between the energy and the frequency of the wave is called Plank's equation. Mathematically, it can be written as :
[tex]E=h\nu[/tex]
where [tex]\nu[/tex] is the frequency of the wave and [tex]\nu=\dfrac{c}{\lambda}[/tex]
h is Planck's constant
So, [tex]E=\dfrac{hc}{\lambda}[/tex]
[tex]E=\dfrac{6.62\times 10^{-34}\ J-s\times 3\times 10^8\ m/s}{6\times 10^{-7}\ m}[/tex]
[tex]E=3.32\times 10^{-19}\ J[/tex]
So, the energy of photon is [tex]E=3.32\times 10^{-19}\ J[/tex]