The wavelength of the beam of light travels in water will be [tex]\lambda =571.43 \ nm[/tex]
What will be the wavelength of the beam of light in water?
It is given that
Wavelength in air [tex]\lambda_{air} =760\ nm[/tex]
Refractive index = 1.33
Wavelength in air [tex]\lambda_{water} = ?[/tex]
We know that the formula of refractive index
[tex]\mu _{R} =\dfrac{\lambda _{air} }{\lambda _{water} }[/tex]
[tex]\lambda _{water } = \dfrac{\lambda _{air } }{\mu_{R} }[/tex]
Now putting values we get
[tex]\lambda _{water } = \dfrac{ { 760} }{1.33} }=571.43 \ nm[/tex]
Thus the wavelength of the beam of light travels in water will be [tex]\lambda =571.43 \ nm[/tex]
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