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29 August, 17:19

The wavelength of a specific photon in the infrared spectrum is 4 * 10-6 meters. Given that the speed of light is 2.998 * 108 m/s, what would be the frequency of this infrared wave?

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  1. 29 August, 17:32
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    The frequency of the infrared wave with wavelength of 4 * 10^-6 meters is 7.495 * 10^13 Hz. The relationship between frequency (f) of the wave, its wavelength (λ), and the speed of light (c) is given in the formula: f = c/λ. We know that c = 2.998 * 10^8 m/s and that λ = 4 * 10^-6 m. From here, f = 2.998 * 10^8 m/s / 4 * 10^-6 m = 2.998/4 * 10^ (8 - (-6)) 1/s = 0.7495 * 10^14 Hz = 7.495 * 10^-1 * 10^14 Hz = 7.495 * 10^ (-1+14) Hz = 7.495 * 10^13 Hz
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