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Suppose refractive index mu is given as ...

Suppose refractive index `mu` is given as `mu= A + (B)/(gamma^(2))` where A and B are constants and `gamma` is wavelength, then dimensions of B are same as that of

A

wavelength

B

volume

C

pressure

D

area

Text Solution

Verified by Experts

The correct Answer is:
D

As `mu= ("velocity of light in vacuum ")/("velocity of light in medium")`
hence `mu` is dimensionless, Thus each term on the RHS of given equation should be dimensionless.
`:. (B)/(lambda^(2))` is dimensionless, i.e, B should have dimensions of `lambda^(2)` i.e, `L^(2)` area.
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