English

The refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light in glass is 2 x 10^8 m/s, find the speed of light in water - Science

Advertisements
Advertisements

Question

The refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light in glass is 2 x 108 m/s, find the speed of light in water.

Numerical

Solution

Given: ng = 3/2 and nw = 4/3

`nw=`

`4/3=(3 xx 10^8)/`

Speed of light in water = `(3xx3xx10^8)/4`

Speed of light in water = 2.25 x 108 m/s

shaalaa.com
  Is there an error in this question or solution?
2015-2016 (March) All India Set 3

RELATED QUESTIONS

You are given kerosene, turpentine and water. In which of these does the light travel fastest? Use the information given in Table.

Material
medium
Refractive index Material medium Refractive index
Air 1.0003 Canada Balsam 1.53
Ice 1.31
Water 1.33 Rock salt 1.54
Alcohol 1.36
Kerosene 1.44 Carbon disulphide 1.63
Fused
quartz
1.46 Dense
flint glass
1.65
Turpentine oil 1.47 Ruby 1.71
Benzene 1.50 Sapphire 1.77
Crown
glass
1.52 Diamond 2.42

The speed of light in vacuum and in two different glasses is given in the table below:  

Medium Speed of light
Vacuum 3.00 × 108 m/s
Flint glass 1.86 × 108 m/s
Crown glass 1.97 × 108 m/s


(a) Calculate the absolute refractive indexes of flint glass and crown glass.
(b) Calculate the relative refractive index for light going from crown glass to flint glass.


Light travels through air at 300 million ms−1. On entering water it slows down to 225 million ms−1. Calculate the refractive index of water.


The speed of light in substance X is 1.25 × 108 m/s and that in air is 3 × 108 m/s. The refractive index of this substance will be: 

(a) 2.4
(b) 0.4
(c) 4.2
(d) 3.75


The refractive index of water is:

(a) 1.33
(b) 1.50
(c) 2.42
(d) 1.36


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 3/2 and 4/3 respectively. If the speed of light in glass is 2 × 108m/s, find the speed of light in (i) vacuum, (ii) water.


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 3/2 and 4/3 respectively. If the speed of light in glass is 2 × 108m/s, find the speed of light in (i) vacuum, (ii) water.


Light travels with a velocity 1.5 x 108 m/s in a medium. On entering second medium its velocity becomes 0.75 x 10 m/s. What is the refractive index of the second medium with respect to the first medium?


A light ray enters from medium A to medium B as shown in figure. The refractive index of medium B relative to A will be ______.


Absolute refractive indices of glass and water are `3/2 and 4/3` respectively. If the speed of light in glass is 2 × 108 m/s, the speed of light in water is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×