A bulb emits light of wavelength 4500 angstrom

Asked by admin @ in Chemistry viewed by 308 People

A bulb emits light of wavelength 4500 Angstrom. The bulb is rated as 150 watt and 8% of the energy is emitted as light. How many photons are emitted by the bulb per second.

Answered by admin @


Each photon has energy of  hν  
h = planks constant
ν = frequency of light
If there are N photons emitted then the total energy radiated is  Nhν .
Average power is given by  P=Energy/time=E/t=Nhν/t
But  N/t=n  is the number of photons emitted per second.
Therefore,  n=P/hν .
ν=c/λ
So,  n=Pλ/hc
If all the power is not radiated then the effective power = rated power x efficiency.
So the number of photons emitted per second  n=Peffλ/c = P×ηλ/hc  where η is the efficiency.
In the problem power P = 150W, wavelength λ = 4500A and efficiency is 8% = 0.08
So number of photons emitted per second, 
n=(150×0.08*4500*10-10) /(6.6×10−34) *(3*×108) = 27.2*1018 
27.2*1018 number of photons will be emitted per second by the bulb
Hope this will help you
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