Two sources of light emit with a power of 200 W. The ratio of the number of photons of visible light emitted by each source having wavelengths 300 nm and 500 nm respectively, will be

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Solution

Q.
Two sources of light emit with a power of 200 W. The ratio of the number of photons of visible light emitted by each source having wavelengths 300 nm and 500 nm respectively, will be [2024]

1 3 : 5

2 1 : 5

3 5 : 3

4 1 : 3

Ans.
(1)

$Let n_{1} and n_{2} a r e number of photons emitted by sources per second .$

$n_{1} \times \frac{h c}{λ_{1}} = 200$

$n_{2} \times \frac{h c}{λ_{2}} = 200$

$\frac{n_{1}}{n_{2}} = \frac{λ_{1}}{λ_{2}} = \frac{300}{500} = \frac{3}{5}$

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