Calculate the number of photons emitted in 10 hours


Asked by admin @ in Science viewed by 300 People


The number of photons emitted in 10 hours by a 60 w sodium lamp will be

Answered by admin @



Given , Power = 60W
time = 10 hours = 10 × 3600 sec = 3.6 × 10⁴ sec
We know, Energy = Power × time
so, Energy = 60W × 3.6 × 10⁴ sec = 21.6 × 10⁵J
Energy = 2.16 × 10⁶J

Now, A/C planks theory,
Energy of one photon = hc/λ ,
Here h is plank's constant and λ is wavelength of light emitted by sodium lamp.
you forgot to write wavelength of photon .
it is given λ = 5893 A° = 5.893 × 10⁻⁷ m
Now, Energy of one photon = 6.63 × 10⁻³⁴ × 3 × 10⁸/5.893 × 10⁻⁷
= 19.89/5.893 × 10⁻¹⁹ J

Now, number of photons = energy /energy of one photon
= 2.16 × 10⁶/{19.89/5.983 × 10⁻¹⁹}
= {2.16 × 5.893/19.89 }× 10²⁵
= 0.64 × 10²⁵
number of photons = 6.4 × 10²⁴

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