Consider a source emitting $100 W$ of green light at a wavelength of $500 nm$ . The number of photons emerging from source per second is

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$2.5 \times 10^{19}$ photons per second

$25 \times 10^{20}$ photons per second

$25 \times 10^{19}$ photons per second

$25 \times 10^{17}$ photons per second

answer is C.

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Detailed Solution

Energy of each photon $E = h ν = \frac{h c}{λ} = \frac{6.63 \times 10^{- 34} \times 3 \times 10^{8}}{500 \times 10^{- 9}} \approx 4 \times 10^{- 19} J$

Number of photons per second $n = \frac{P}{E} = \frac{100}{4 \times 10^{- 19}} = 25 \times 10^{19} s^{- 1}$

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