Question:

Suppose refractive index μ\mu is given as μ=A+Bλ2 \mu = A + \frac{B}{\lambda^2} where A and B are constants and λ\lambda is wavelength, then dimensions of B are same as that of

Updated On: Jul 29, 2023
  • wavelength
  • volume
  • pressure
  • area
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The Correct Option is D

Solution and Explanation

μ=velocityoflightinvacuumvelocityoflightinmedium \mu = \frac { velocity \, of \, light \, in \, vacuum }{ velocity \, of \, light \, in \, medium }
The refractive index μ \mu is dimensionless, so each term on right hand side is dimensionless. Hence, Bλ2 \frac{ B }{ \lambda^2 } is dimensionless.
This implies that dimensions of B will have the dimensions of
λ2 \lambda^2 ie, of area. ie, of cm2cm^2 or area.
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Laws in Physics

Physical laws play an important role in Science and are considered fundamental. Many laws of physics are built after several researches or some are a modification of existing laws and theoretical research. This article deals with important laws of physics which will help in the understanding of various concepts.