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How many photons will a bulb of 100 watt emit in one second if the wavelength of light is 400 nm?

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$1.02 \times 10^{18}$

$2.01 \times 10^{20}$

$3.30 \times 10^{22}$

$4.04 \times 10^{22}$

answer is B.

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Detailed Solution

$E = nhv = nh \frac{c}{λ}$

$n = \frac{Eλ}{hc} = \frac{(100 {Js}^{- 1}) \times (400)}{(6.626 \times 10^{- 34} Js) \times (3 \times 10^{8} {ms}^{- 1})} = 2.01 \times 10^{20} per second$

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