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# if the refractive indices for water and diamond relative to air are 1.33 and 2.4 respectively, then the refractive index of diamond relative to water is

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## If the refractive indices for water and diamond relative to air are 1.33 and 2.4 respectively, then the refractive index of diamond relative to water is

Click here👆to get an answer to your question ✍️ If the refractive indices for water and diamond relative to air are 1.33 and 2.4 respectively, then the refractive index of diamond relative to water is Question

A

B

C

D

## None of these

Medium Open in App Solution Verified by Toppr

Correct option is B)

refractive index of water w.r.t. air is

w ​ μ a ​ = μ a ​ μ w ​ ​

=1.33                        (1)

similarly refractive index of diamond w.r.t. air is

d ​ μ a ​ = μ a ​ μ d ​ ​

= 2.4                         (2)

from  (1) and (2)

divide equation (2) by equation  (1)

we get, d ​ μ w ​ = μ w ​ μ d ​ ​ = w ​ μ a ​ d ​ μ a ​ ​ d ​ μ w ​ = 1.33 2.4 ​ =1.80

refractive index of diamond with respect to water is 1.80

Option B is correct.

109 15

स्रोत : www.toppr.com

## The refractive index of water and diamond are 1.33 and 2.42, respectively. Calculate the refractive index of diamond with respect to water.

n (w) = 1. 33 , n (d) = 2. 42 Refractive index of diamond with respect to water ""(w) n (d) = ? We have ""(w) = n (d) = ( n (d))/( n (w)) = 1. 82 The refractive index of water and diamond are 1.33 and 2.42, respectively. Calculate the refractive index of diamond with respect to water.

CENGAGE PHYSICS-REFRACTION OF LIGHT -MANDATORY EXERCISE (EXERCISE SET V)

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Updated On: 27-06-2022

Text Solution Solution n w = 1 . 33 , n d = 2 . 42

Refractive index of diamond with respect to water

w n d = ? We have w = n d = n d n w = 1 . 82 Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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स्रोत : www.doubtnut.com

## Refractive index of water with respect to air is 1.33 and that of diamond is 2.42. (i) In which medium does the light move faster, water or diamond? (ii) What is the refractive index of diamond with respect to water?

Q.33 of chapter 1, Sample Paper 2020-21 - Science - Sample Papers book. Refractive index of water with respect to air is 1.33 and that of diamond is 2.42. (i) In which medium does the light move faster, water or diamond? (ii) What is the refractive index of diamond with respect to water? ## Book: Science - Sample Papers

### Q. No. 33 of Set-I

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33

Refractive index of water with respect to air is 1.33 and that of diamond is 2.42.

(i) In which medium does the light move faster, water or diamond?

(ii) What is the refractive index of diamond with respect to water?

Sol.

The refractive index of a substance is the ratio of the speed of light in a vacuum to the speed of light in the medium.

Since the refractive index of diamond is more, hence the speed of

light is lesser in a diamond.

Let the speed of light in water be vwand in diamond be vd.

Refractive index of diamond w.r.t water is, say n.

From the definition, we know

Dividing both numerator and denominator by speed of light [c], we

get n = (vw/c) ÷ (vd/c)

Which is the inverse ratio of refractive index of water and diamond

n= 2.42/1.33 = 1.82 (approx.)

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स्रोत : philoid.com

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Mohammed 10 day ago

Guys, does anyone know the answer?