A hollow prism is filled with water of refractive index 1.34 and white light is incident on the prism. The white light is assumed to have wavelengths ranging from 4020 Å to 6700 Å. What is the corresponding wavelength range in water?
\(3000\ \text{Å to } 5000\ \text{Å}\)
When light passes from air into water, its frequency remains unchanged but its wavelength changes as \(\lambda_{water} = \dfrac{\lambda_{air}}{n}\), where \(n = 1.34\) is the refractive index of water.
Minimum wavelength: \(\lambda_{min} = \dfrac{4020}{1.34} = 3000\ \text{Å}\).
Maximum wavelength: \(\lambda_{max} = \dfrac{6700}{1.34} = 5000\ \text{Å}\).
So the corresponding wavelength range in water is 3000 Å to 5000 Å. Hence option (a) is correct.
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