State the law of refraction of light that defines the refractive index of one medium with respect to the other

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Dear student, the second law of refraction- the ratio of sine of angle of incidence and the sine of angle of refraction is constant for a given pair of media called as refractive index. mathematically, sini/sinr = anb ,a constant (refractive index of medium b with respect to a) bna = speed of light in b/speed of light in a if b is vaccum then the constant is c(speed of light in vaccum. With regards

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Q. State the law of refraction of light.Write an expression to relate absolute refractive index of a medium wit speed of light in vacuum.
The refractive index of medium

x

with respect to

y

\frac{2}{3}

and the refractive index of medium

y

with respect to

z

\frac{4}{3}

. Calculate the refractive index of medium

z

with respect to

x

State the laws of refraction of light. If the speed of light in vacuum is $3 \times 10^{8} m s^{- 1}$ , find the speed of light in a medium of absolute refractive index 1.5

Q. Prove that

n_{12} \times n_{23} \times n_{31} = 1

where

n_{12}

is the refractive index of medium-2 with respect to medium-1,

n_{23}

is the refractive index of medium-3 with respect to medium-2,

n_{31}

is the refractive index of medium-3 with respect to medium-1.

How to find the refractive index of one medium in respect to the other medium

List the sign conventions for reflection of light by spherical mirrors. Draw a diagram and apply these conventions in the determination of focal length of a spherical mirror which forms a three times magnified real image of an object placed 16 cm in front of it.
OR
State the law of refraction of light that defines the refractive index of a medium with respect to the other. Express it mathematically. How is refractive index of any medium 'A' with respect to a medium 'B' related to the speed of propagation of light in two media A and B? State the name of this constant when one medium is vacuum or air.

The refractive indices of glass and water with respect to vacuum are $\frac{3}{2}$ and $\frac{4}{3}$ respectively. If the speed of light in glass is $2 \times 10^{8} m / s$ , find the speed of light in (i) vacuum, (ii) water.

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