If a source of electromagnetic radiation having power 15 kW produces photons per second, the radiation belongs to a part of spectrum is (Take Planck constant Js) [2023]

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Solution

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) [2023]

1 Micro waves

2 Ultraviolet rays

3 Gamma rays

4 Radio waves

Ans.
(3)

$Energy of one photon = \frac{Power}{photon frequency}$

$E = h ν = \frac{15 \times 10^{3}}{10^{16}}$

$\Rightarrow ν = \frac{15 \times 10^{- 13}}{6 \times 10^{- 34}} = 2.5 \times 10^{21}$

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