Problem

14. Orange light and green light both pass from oil $(n=1.45)$ to water $(n=$ 1.33). Both have the same angle of incidence. This means the angle of refraction will be for green light. greater less the same

Solution

Step 1 :The angle of refraction depends on the refractive index of the medium and the wavelength of the light. Different colors of light have different wavelengths, and thus they refract differently. According to Snell's law, the angle of refraction is inversely proportional to the refractive index. Therefore, if the refractive index is higher, the angle of refraction is smaller, and vice versa.

Step 2 :However, in this case, the refractive index of the medium (water) is the same for both orange and green light. Therefore, the angle of refraction should be the same for both colors of light, assuming that the refractive index of water does not vary significantly with the wavelength of light in the visible range.

Step 3 :Final Answer: \(\boxed{\text{The angle of refraction will be the same for both orange and green light.}}\)

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Source: https://solvelyapp.com/problems/38188/

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