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Question

A sodium incandescent bulb emits 589nm wavelength light at 60watts. calculate the number of photons emitted by the bulb.


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Solution

Step1: Given data

  1. The wavelength of the sodium incandescent bulb light is λ=589×10-9m.
  2. The total energy of the light is E=60watt.
  3. The energy of each photon of wavelength λ is defined by the form E=hcλ, where, h is the Plank constant and c is the velocity of light in free space.

Step 2: Finding the number of photons

Let there be n number of photons exist in the 60watt light.

The energy of one photon is E=hcλ.

So,

E=hcλ=6.626×10-34×3×108m/s-1589×10-8m=3.37×10-20c=speedoflight=3×108m/s-1orE=3.37×10-20watt.

So, the number of photons is

n=TotalenergyoflightsourceEnergyofeachphoton=603.37×10-20=1.7×1021orn=1.7×1021

Therefore, the number of photons emitted by the bulb is 1.7×1021.


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