The wavelength of green light is [tex]5.26\cdot 10^{-7} m[/tex] or 526 nm
Explanation:
The wavelength, the frequency and the speed of a wave are related by the wave equation:
[tex]v=f\lambda[/tex]
where
v is the speed of the wave
f is its frequency
[tex]\lambda[/tex] is its wavelength
For the green light wave in this problem, we have:
[tex]f=5.7\cdot 10^{14}Hz[/tex] is the frequency
[tex]c=3\cdot 10^8 m/s[/tex] is the speed of the wave (since green light is an electromagnetic wave, it travels at the speed of light in a vacuum)
Therefore, we can solve the formula to find the wavelength:
[tex]\lambda=\frac{v}{f}=\frac{3\cdot 10^8}{5.7\cdot 10^{14}}=5.26\cdot 10^{-7}m = 526 nm[/tex]
Learn more about wavelength and frequency:
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