Given:
Frequency (ν) = 319 THz
To determine:
The wavelength corresponding to the given frequency
Explanation:
Wavelength (λ) and Frequency(ν) are related as:
λ = c/ν
where c = speed of light = 3*10⁸ m/s
Now:
SI unit of frequency is Hertz (Hz) also expressed as cycles per second
i.e 1 Hz = 1 s⁻¹
1 Terahertz (THz) = 10¹² Hz
therefore the given frequency ν = 319 *10¹² s⁻¹
λ = 3 * 10⁸ ms⁻¹/319 *10¹² s⁻¹ = 940 * 10⁻⁹ m
since 1 nanometer (nm) = 10⁻⁹ m
The wavelength is λ = 940 nm
Ans: The infrared wavelength = 940 nm
