Index of refraction confusion

[Hemichordate]

So in TPR, it says that the higher the frequency, the greater the index of refraction. But since n = c/v, and v varies directly with the frequency, v will increase if the frequency increases. This means that the index of refraction should be lower...Can someone explain?

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[Rabolisk]

Your book is correct. You're correct too. It's just that you're talking about a different concept. The index of refraction varies according to frequency of the light. This means that purple or violet light is refracted more (greater angle of refraction) than red light. However the frequency after refraction does not change. Velocity and wavelength change, not frequency.