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Physics

If refractive index of glass w.r.t. air is 32\dfrac{3}{2}. What is the refractive index of air w.r.t. glass?

  1. 34\dfrac{3}{4}

  2. 43\dfrac{4}{3}

  3. 32\dfrac{3}{2}

  4. 23\dfrac{2}{3}

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Answer

23\dfrac{2}{3}

Reason — The refractive index of glass w.r.t. air is aμg = 32\dfrac{3}{2}

We know that:

gμa=1aμg{\text{g}}\text{μ}{\text{a}} = \dfrac{1}{a\mug} \\[1em]

So, substituting we get,

gμa=132=23{\text{g}}\text{μ}{\text{a}} = \dfrac{1}{\dfrac{3}{2}} = \dfrac{2}{3} \\[1em]

Hence, gμa = 23\dfrac{2}{3}

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