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A monochromatic source of light operating at 200 \mathrm{~W} emits 4 \times 10^{20} photons per second. Find the wavelength of light.



 

Option: 1

400 \mathrm{~mm}


Option: 2

200 \mathrm{~nm}


Option: 3

4 \times 10^{-10} \AA


Option: 4

None of these


Answers (1)

best_answer

\begin{aligned} & \text{The energy of each photon }=\frac{200}{4 \times 10^{20}}=5 \times 10^{-19} \mathrm{~J}\\& \text { Wavelength }=\lambda=\frac{\mathrm{hc}}{\mathrm{E}} \\ & =\frac{\left(6.63 \times 10^{-34}\right) \times\left(3 \times 10^8\right)}{5 \times 10^{-19}} \\ & \Rightarrow \lambda=4.0 \times 10^{-7}=400 \mathrm{~nm} \end{aligned}

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Anam Khan

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