Nitrogen laser produces a radiation at a wavelength of 337.1 nm. If the number of photons emitted is 5.6 × 1024, calculate the power of this laser.
Given:
Wavelength, λ = 337.1 nm
Number of photons = 5.6 × 1024
Energy, E = nhv = nhc/λ
Where
n = number of photons emitted
h = Planck’s constant
c = velocity of radiation
λ = wavelength of radiation
Substituting the values in the given expression of Energy [E]:
= {[5.6× 1024] × [6.626× 10-34] × [3× 108 ms-1]} / [337.1× 10-9m]
= [1.113168] / [337.1× 10-9m]
= 3.302× 106 J
Hence, the power of the laser is 3.302× 106 J.