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Chemistry Question on Atomic Models

Nitrogen laser produces radiation at a wavelength of 337.1 nm. If the number of photons emitted is 5.6 × 1024, calculate the power of this laser.

Answer

Power of laser = Energy with which it emits photons
Power = E =Nhcλ\frac{Nhc}{\lambda}
Where N = number of photons emitted
h = Planck's constant
c = velocity of radiation
λ\lambda = wavelength of radiation
Substituting the values in the given expression of Energy (E):
E = (5.6×1024)(6.626×10−34Js)(3×108ms−1)(337.1×10−9m)\frac{(5.6 × 10^{24})(6.626×10^{-34}Js)(3 × 10^8 ms^{-1})}{(337.1 × 10 ^{-9} m)} = 0.3302×107 J = 3.33×106 J
Hence, the power of the laser is 3.33×106 J.