Yes, the results are reasonable, because the product of frequency and wavelength of the UV wave gives the speed of light
Explanation:
For an electromagnetic wave, the relationship between wavelength and frequency of the wave is given by the wave equation:
[tex]c=f\lambda[/tex]
where
[tex]c=3.0\cdot 10^8 m/s[/tex] is the speed of light (the speed of all electromagnetic waves in a vacuum)
f is the frequency of the wave
[tex]\lambda[/tex] is its wavelength
For the UV ray in this problem, we have
[tex]f=1.53\cdot 10^{16} Hz[/tex] (frequency)
[tex]\lambda=1.96\cdot 10^{-8} m[/tex] (wavelength)
Substituting into the equation, we get
[tex]c=(1.53\cdot 10^{16})(1.98\cdot 10^{-8})=3.0\cdot 10^8 m/s[/tex]
which is the correct value for the speed of light: so, the results are reasonable.
Learn more about waves:
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