If a source of electromagnetic radiation having power 15 kW produces 10¹⁶ photons per second, the radiation belongs to which part of the spectrum? [Take Planck constant h = 6 × 10⁻³⁴ J s]
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If a source of electromagnetic radiation having power 15 kW produces 10¹⁶ photons per second, the radiation belongs to which part of the spectrum? [Take Planck constant h = 6 × 10⁻³⁴ J s]

G1 Physics · Accepted Answer

Energy per photon E = P/N = 15×10³/10¹⁶ = 1.5×10⁻¹² J. Frequency ν = E/h = 1.5×10⁻¹²/(6×10⁻³⁴) = 2.5×10²¹ Hz, which lies in the gamma-ray region.