Physics And Measurement Question 206
Question: Suppose refractive index $ \mu $ is given as $ \mu =A+\frac{B}{\lambda _{{}}^{2}} $ where A and B are constants and $ \lambda $ is wavelength, then dimensions of B are same as that of
Options:
A) Wavelength
B) Volume
C) Pressure
D) Area
Show Answer
Answer:
Correct Answer: D
Solution:
[d] As $ \mu =\frac{Velocityoflightinvaccum}{Velocityoflightinmedium} $ , hence $ \mu $ is dimensionless. T
hus, each term on the RHS of given equation should be dimensionless, i.e., $ B/{{\lambda }^{2}} $ is dimensionless, i.e., B should have dimension of $ {{\lambda }^{2}} $ , i.e., $ cm^{2} $ , i.e., area.
