If `mu_(0)` be the permeability and `epsilon_(0)` be the permittivity of a medium, then its refractive index is given by

Question

If `mu_(0)` be the permeability and `epsilon_(0)` be the permittivity of a medium, then its refractive index is given by

If `mu_(0)` be the permeability and `epsilon_(0)` be the permittivity of a medium, then its refractive index is given by
A. `(1)/(sqrt(mu_(0)epsilon_(0)))`
B. `(1)/(mu_(0)epsilon_(0))`
C. `sqrt(mu_(0)epsilon_(0))`
D. `mu_(0)epsilon_(0)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - C
Refractive index of medium is `=(c)/(v)`
where `c=(1)/(sqrt(mu_(0)epsilon_(0)))and v=(1)/(sqrt(mu_(0)epsilon_(0)mu_(r)epsilon_(r)))`
`therefore" "mu=(1//sqrt(mu_(0)epsilon_(0)))/(1//sqrt(mu_(0)epsilon_(0)mu_(r)epsilon_(r)))=sqrt(mu_(r)epsilon_(r))`
Given `mu_(r)=mu_(0)` and `epsilon_(r)=epsilon_(0)` then `mu=sqrt(mu_(0)epsilon_(0))`