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  • If a source of power 4kW produces 1020 photons/second, the radiation belongs to a part of the spectrum called  Option: 1 microwaves</

If a source of power 4kW produces 1020 photons/second, the radiation belongs to a part of the spectrum called
 

Option: 1

microwaves


Option: 2

y-rays


Option: 3

X-rays


Option: 4

ultraviolet rays


Answers (1)

best_answer

Energy of a photon

\mathrm{\mathrm{E}=\mathrm{h} v=\mathrm{hc} / \lambda}

If n is the number of photon emitted per second

\text{Power}, \mathrm{P}=\mathrm{nhc} / \lambda

\begin{aligned} & 4 \times 10^3=\left(10^{20} \times 6.62 \times 10^{-34} \times 3\right.\left.\times 10^8\right) / \lambda \lambda=\left(10^{20} \times 6.62 \times 10^{-34}\right. \\ & \left.\times 3 \times 10^8\right) /\left(4 \times 10^3\right) \lambda=(19.8 \times \left.10^{-6}\right) /\left(4 \times 10^3\right) \lambda=4.96 \times 10^{-9}= 49.6 \AA \\ & \approx 50 \AA(\mathrm{x} \text {-ray) } \end{aligned}

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Pankaj

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