If the speed of light in medium 1 and medium 2 are 2-5- 108 m s-1 and 2- 108 m s-1 respectively- then the refractive index of medium 1 with respect to medium 2 is-

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Standard X

Physics

Refractive Index

If the speed ...

Question

If the speed of light in medium 1 and medium 2 are $2.5 \times 10^{8} m s^{- 1}$ and $2 \times 10^{8} m s^{- 1}$ respectively, then the refractive index of medium 1 with respect to medium 2 is:

\frac{3}{2.5}

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\frac{2}{2.5}

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\frac{2.5}{3}

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\frac{2.5}{2}

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Solution

The correct option is D $\frac{2}{2.5}$
Refractive index in medium 1 w.r.t. medium 2 is represented as :
$_{2} μ_{1}$ = $\frac{s p e e d o f l i g h t i n m e d i u m 2}{s p e e d o f l i g h t i n m e d i u m 1}$
$= \frac{2}{2.5}$

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Similar questions

Q. The speed of light in air is 3 × 10⁸ m/s. In medium X its speed is 2 × 10⁸ m/s and in medium Y the speed of light is 2.5 × 10⁸ m/s Calculate:

(a) _air n_x
(b) _air n_Y
(c) _x n_Y

The refractive index of water is $\frac{4}{3}$ . The speed of light in water is:

(Take the speed of light in air $= 3 \times 10^{8} m s^{- 1}$ )

How is refractive index of a medium 2 given with respect to medium 1 related to speed of light?
where, $n_{1}$ and $n_{2}$ are the respective refractive indicies of medium 1 and medium 2. And, $c_{1}$ and $c_{2}$ are speed of light in medium 1 and medium 2 respectively.

Solve:

(1) The speed of light in a transparent medium is 2.4 × 10⁸ m/s. Calculate absolute refractive index of the medium.

(2) The speed of light in water and glass is 2.2 × 10⁸ m/s and 2 × 10⁸ m/s, respectively. What is the refractive index of −

(a) water w.r.t. glass

(b) glass w.r.t. water.

(3) Refractive index of water is 4/3 and speed of light in air is 3×10⁸ m/s. Find speed of light in water.

Q. A ray of light is incident in medium

1

on a surface that separates medium

1

from medium

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v_{1}

and

v_{2}

represent the velocity of light in medium

1

and medium

2

respective. Also let

n_{12}

and

n_{21}

represent the refractive index of medium

1

with respect to medium

2

and refractive index of medium

2

with respect to medium

1

, respectively. If

i

and

r

denote the angle of incidence and refraction, then:

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If the speed of light in medium 1 and medium 2 are 2.5×108ms−1 and 2×108ms−1 respectively, then the refractive index of medium 1 with respect to medium 2 is:

The correct option is D 22.5Refractive index in medium 1 w.r.t. medium 2 is represented as :2μ1 =speed of light in medium 2speed of light in medium 1 =22.5

If the speed of light in medium 1 and medium 2 are $2.5 \times 10^{8} m s^{- 1}$ and $2 \times 10^{8} m s^{- 1}$ respectively, then the refractive index of medium 1 with respect to medium 2 is:

The correct option is D $\frac{2}{2.5}$
Refractive index in medium 1 w.r.t. medium 2 is represented as :
$_{2} μ_{1}$ = $\frac{s p e e d o f l i g h t i n m e d i u m 2}{s p e e d o f l i g h t i n m e d i u m 1}$
$= \frac{2}{2.5}$