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Standard X

Physics

Dispersion of Light

1) Show that ...

Question

1) Show that the refractive indexof a medium 1 with respect to medium 2 is reciprocal to the refractive index of medium 2 with respect tp 1 i.e n₁₂= 1 /n₂₁

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Solution

It's quite simple, remember the definition of refractive index....
and
let n₁ be the refractive index of medium 1
and n₂ be the refractive index of medium 2

so, the refractive index of medium 1 with respect to medium 2 will be
n₁₂ = n₁ / n₂(1)
and
the refractive index of medium 2 with respect to medium 1 will be
n₂₁ = n₂/ n₁(2)

so, from (1) and (2), we get
n₁₂ = 1 /n₂₁

which is the required result.

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1) Show that the refractive indexof a medium 1 with respect to medium 2 is reciprocal to the refractive index of medium 2 with respect tp 1 i.e n12 = 1 /n21

1) Show that the refractive indexof a medium 1 with respect to medium 2 is reciprocal to the refractive index of medium 2 with respect tp 1 i.e n₁₂= 1 /n₂₁