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  4. If a source of electromagnetic radiation having power 15 kW produces 1016 photons per second, the radiation belongs to a part of spectrum is. (Take Planck constant h =6 × 10-34 Js )

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Q. If a source of electromagnetic radiation having power $15\, kW$ produces $10^{16}$ photons per second, the radiation belongs to a part of spectrum is. (Take Planck constant $h =6 \times 10^{-34} \,Js$ )

JEE MainJEE Main 2023Dual Nature of Radiation and Matter

Solution:

$ \text { Energy of one photon }=\frac{\text { Power }}{\text { Photon frequency }} $
$ E=h v=\frac{15 \times 10^3}{10^{16}} $
$ v=\frac{15 \times 10^{-13}}{6 \times 10^{-34}}=2.5 \times 10^{21}$
So gamma Rays. Option 3