Let nr and nb be respectively the number of photons emitted by a red bulb and a blue bulb of equal power in a given time.
The number of photons crossing an area in a given time
is given by
=Intensity of source or power density;
=Energy of a single photon;
=Planck constant;
=Velocity of photon;
=Wavelength of light and
=Frequency of light.
We know the famous mnemonic VIBGYOR (Violet-Indigo-Blue-Green-Yellow-Orange-Red) to remember visible light in increasing order of their wavelengths. We observe that red light has greater wavelength than blue light i.e. . From the above equation, we see that
and therefore
.