The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600 nm, when it delivers the power of watt will be ( ) [2021]

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Solution

Q.
The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600 nm, when it delivers the power of $3.3 \times 10^{- 3}$ watt will be ( $h = 6.6 \times 10^{- 34}$ $Js$ ) [2021]

1 $10^{15}$

2 $10^{18}$

3 $10^{17}$

4 $10^{16}$

Ans.
(4)

Given, Power = $3.3 \times 10^{- 3}$ Watt

Wavelength, $λ = 600$ $nm = 600 \times 10^{- 9}$ $m$

Number of photons emitted per second is

$n_{1} = \frac{P λ}{h c} = \frac{3.3 \times 10^{- 3} \times 600 \times 10^{- 9}}{6.6 \times 10^{- 34} \times 3 \times 10^{8}} \Rightarrow n = 10^{16}$

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