JEE MAIN - Physics (2023 - 31st January Morning Shift - No. 17)

If a source of electromagnetic radiation having power $$15 \mathrm{~kW}$$ produces $$10^{16}$$ photons per second, the radiation belongs to a part of spectrum is.

(Take Planck constant $$h=6 \times 10^{-34} \mathrm{Js}$$ )

Gamma rays
Radio waves
Micro waves
Ultraviolet rays

Explanation

$$ \begin{aligned} & \text { Energy of one photon }=\frac{\text { Power }}{\text { Photon frequency }} \\\\ & \mathrm{E}=\mathrm{h} v=\frac{15 \times 10^3}{10^{16}} \\\\ & \Rightarrow v=\frac{15 \times 10^{-13}}{6 \times 10^{-34}}=2.5 \times 10^{21} \end{aligned} $$

So gamma Rays.

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