Define refractive index of medium (A) with respect to medium (B).
Answers
Answer:
"Refractive index of a medium is defined as the ratio of velocity of speed in air or vacuum to velocity of light in that medium. It is dimensionless quantity."
Explanation:
Refractive index of medium c with respect to medium a is 9/8.
Refractive index of a medium is defined as the ratio of velocity of speed in air or vacuum to velocity of light in that medium.
It is dimensionless quantity.
It is given by
n = \frac{velocity of light in air or vacuum}{velocity of light in medium}n=
velocityoflightinmedium
velocityoflightinairorvacuum
If light travels from medium 1 to medium 2 then,
n_{12} = \frac{velocity of light in medium 2}{velocity of light in medium 1}n
12
=
velocityoflightinmedium1
velocityoflightinmedium2
PROBLEM:
Given,
Refractive index of medium a with respect to medium b = 2/3
n_{ab} = \frac{v_{b} }{v_{a} } = \frac{2}{3}n
ab
=
v
a
v
b
=
3
2
Refractive index of medium b with respect to medium c = 4/3
n_{bc} = \frac{v_{c} }{v_{b} } = \frac{4}{3}n
bc
=
v
b
v
c
=
3
4
Refractive index of medium c with respect to medium a,
\begin{gathered}n_{ca} = \frac{v_{a} }{v_{c} } = \frac{v_{a} }{v_{b} }\frac{v_{b} }{v_{c} }\\ = (\frac{3}{2})( \frac{3}{4} )\\ = \frac{9}{8}\end{gathered}
n
ca
=
v
c
v
a
=
v
b
v
a
v
c
v
b
=(
2
3
)(
4
3
)
=
8
9