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Question

# A 500 W power source emits UV light having a wavelength of 2000 ∘A. How many photons are emitted per minute by the source?

A
8.0×1023
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B
5.6×1024
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C
3.0×1022
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D
8.0×1020
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Solution

## The correct option is C 3.0×1022We 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=500 W=500 J/s, t=60 s Hence, Number of photons (n)=500×60×2000×10−106.626×10−34×3×108=3.0×1022

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