The wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
Given the data in the question;
Wavelength can be simply defined as the spatial period of a periodic wave. When the shapes of waves are repeated, the distance over which they are repeated is called wavelength. Wavelength is expressed as;
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light( [tex]c = 3*10^8m/s[/tex] )
We substitute our values into the expression above to determine the wavelength of the light ray.
[tex]\lambda = \frac{c}{f} \\\\\lambda = \frac{3*10^8m/s}{7.4*10^{12}s^{-1}}} \\\\\lambda = \frac{3*10^8ms/s}{7.4*10^{12}}}\\\\\lambda = 4.05*10^{-5}m\\\\\lambda = 4.05*10^{4}nm[/tex]
Therefore, the wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
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