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Question

A 100 W power source emits green light having a wavelength of 5000 A. How many photons are emitted per minute by the source?

A
1.5×1020
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B
3.5×1022
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C
1.5×1022
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D
3.5×1020
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Solution

The correct option is C 1.5×1022
We know,
energy given out by the source per unit time = Power (P)
Therefore, energy given by the source in t sec = P×t
Again, the energy of each photon of green light is given by =hv=hcλ
The number of photons (n) emitted in time t sec is given by, n=P×t(hcλ)=P×t×λhc
Given,
P=100 W=100 J/s,
t=60 s
Hence,
Number of photons (n):100×60×5000×10106.626×1034×3×108=1.5×1022

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