Question

Speed of light in 1st medium= 2 x 10^8 m/s, Speed of light in the 2nd medium=1.5 x 10^8 m/s . Then μ = ______ .​

Answer 1

GiveN :-

• Speed of light in 1st medium= 2 x 10⁸m/s.
• Speed of light in the 2nd medium=1.5 x 10⁸ m/s .

To FinD :-

• The refractive index ( μ )

SolutioN :-

We know that refractive index is defined as the ratio of speed of light in vacuum to the speed to light in a medium . Let the speed of light be denoted by c and the speed of light in that medium be v , then the refractive index is c/v .

$\red{\bigstar}\underline{\textsf{ Using the Formula of Refractive Index :- }}$

$\\\\\sf\dashrightarrow \pink{\mu =\dfrac{c}{v}}\\\\\sf\dashrightarrow \mu =\dfrac{3\times 10^8 m/s}{1.5 \times 10^8 m/s }\\\\\sf\dashrightarrow \mu =\dfrac{3}{1.5} \\\\\sf\dashrightarrow \underset{\blue{\sf Required\ Answer }}{\underbrace {\boxed{\pink{\frak{Refractive \ Index (\mu) = 2 }}}}}$