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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

Answer»

wavelength
volume
pressure
area

Solution :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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