The wavelength of yellow light is [tex]5.77\times10^{-7}[/tex] meters.
Given that, Yellow light has a frequency of [tex]5.2\times10^{14}\;\rm Hz[/tex] and travels at a speed of [tex]3.0\times10^8\;\rm m/s[/tex].
The wavelength of the yellow light can be calculated by the formula given below.
[tex]\nu \times\lambda=c\\[/tex]
Where [tex]c[/tex] is the speed of light in m/s. [tex]\nu[/tex] is the frequency of the light in Hz. And [tex]\lambda[/tex] is the wavelength of the light.
Substituting the value of frequency and speed of light in the above formula, the wavelength of the light is,
[tex]5.2\times10^{14}\times\lambda=3.0\times10^8[/tex]
[tex]\lambda = 5.77\times10^{-7}\;\rm m[/tex]
The wavelength of yellow light is [tex]5.77\times10^{-7}[/tex] meters.
For more details about the wavelength of the light, follow the details given below.
https://brainly.com/question/14703698.
The wavelength of the yellow light is 5.77×10¯⁷ m
The velocity, frequency and wavelength of a wave are related according to the following equation:
Velocity = wavelength x frequency
v = λf
With the above formula, we can obtain the wavelength of the yellow light as follow:
v = λf
3×10⁸ = λ × 5.2×10¹⁴
Divide both side by 5.2×10¹⁴
λ = 3×10⁸ / 5.2×10¹⁴
λ = 5.77×10¯⁷ m
Thus, the wavelength of the yellow light is 5.77×10¯⁷ m
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