The frequency is [tex]6.3\cdot 10^{14}[/tex] and it is blue light
Explanation:
The relationship between the speed, the frequency and the wavelength of an electromagnetic wave is given by:
[tex]c=f \lambda[/tex]
where
[tex]c=3.0\cdot 10^8 m/s[/tex] is the speed of light
f is the frequency of the wave
[tex]\lambda[/tex] is its wavelength
In this problem, the wavelength of the wave is
[tex]\lambda = 4.8\cdot 10^{-7} m[/tex]
Therefore, its frequency is:
[tex]f=\frac{c}{\lambda}=\frac{3.0\cdot 10^8}{4.8\cdot 10^{-7}}=6.3\cdot 10^{14} Hz[/tex]
The wavelength of this wave is
[tex]\lambda = 480 nm[/tex]
And by looking at the table of the wavelengths of the colors, we notice that this corresponds to the blue light, which has a range of wavelength of
[450 - 495] nm
Learn more about waves and electromagnetic waves here:
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