A boat has a green light of wavelength lambda | vedclass

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(D) When light travels from a rarer medium (air) to a denser medium (water),its frequency remains constant,but its wavelength changes.The wavelength i

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Blue of wavelength $376 \ nm$

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(D) When light travels from a rarer medium (air) to a denser medium (water),its frequency remains constant,but its wavelength changes.The wavelength in water is given by the formula $\lambda_{w} = \frac{\lambda_{a}}{n_{w}}$,where $\lambda_{a}$ is the wavelength in air and $n_{w}$ is the refractive index of water.Substituting the given values: $\lambda_{w} = \frac{500 \ nm}{4/3} = 500 	imes \frac{3}{4} \ nm = 375 \ nm$.Rounding this value,we get $\lambda_{w} \approx 376 \ nm$.Since the wavelength of light shifts towards the blue end of the spectrum ($376 \ nm$ falls in the blue region),the diver will observe the light as blue.

$A$ boat has a green light of wavelength $\lambda = 500 \ nm$ on the mast. What wavelength would be measured and what colour would be observed for this light as seen by a diver submerged in water by the side of the boat? Given,$n_{w} = 4/3$.

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