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Question

Does the refractive index of an object chqnges when we use light of different wavelength/ colors?

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Solution

yes

Yes it depends on wave length it is inversely proportional to it. Let u denote the refractive index, then:

u=c/v
where cc in the speed of light in vacuum and v is the speed in a medium.
And:
v=fl
where ff denotes the frequency and l the wavelength. So we get:
u1/u2=l2/l1

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