Suppose you illuminate two thin slits by monochromatic coherent light in air and find that they produce their first interference minima at ± 35.09 ∘ on either side of the central bright spot. you then immerse these slits in a transparent liquid and illuminate them with the same light. now you find that the first minima occur at ± 19.38 ∘ instead. what is the index of refraction of this liquid?

1.7323

Explanation:

To develop this problem, it is necessary to apply the concepts related to refractive indices and Snell's law.

From the data given we have to:

Where n means the index of refraction.

We need to calculate the index of refraction of the liquid, then applying Snell's law we have:

Replacing the values we have:

Therefore the refractive index for the liquid is 1.7323

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