A monochromatic source of light operating at 15 kW emits 2.5 10²² photons/s. The region of an electromagnetic spectrum to which the emitted electromagnetic radiation belongs to ________. (Take h=6.6 10⁻³⁴ J·s and c=3 10^8 m/s).

Step-by-step solution

Power of the source, P = 15 kW = 15 10^3 J/s Number of photons emitted per second, n = 2.5 10²² s ⁻¹ Energy of one photon, E = P n = 15 10^3 2.5 10²² = 6 10⁻¹⁹ J Using E = hc , we get = hc E = 6.6 10⁻³⁴ 3 10^8 6 10⁻¹⁹ = 3.3 10⁻⁷ m = 330 nm The wavelength 330 nm lies in the ultraviolet region of the electromagnetic spectrum. Answer: Ultraviolet