If the absolute refractive index of glass and water are 3/2 and 4/3 respectively, what is the refractive index of glass with respect to water? - Science and Technology 1

Advertisements
Advertisements
Answer in Brief

If the absolute refractive index of glass and water are 3/2 and 4/3 respectively, what is the refractive index of glass with respect to water?

Advertisements

Solution

If v1 is the velocity of light in vacuum, v2 is the velocity of light in glass and v3 is the velocity of light in water then, absolute refractive index of glass, i.e., a refractive index of glass with respect to vacuum,

`"n"_"g" = "v"_1/"v"_2 = 3/2`    ...(i)

Absolute refractive index of water ,i.e., refractive index of water with respect to vacuum,

`"n"_"w" = "v"_1/"v"_3 = 4/3`   ...(ii)

∴ Refractive index of glass with respect to water,

gnw = `"v"_3/"v"_2`

`= "v"_1/"v"_2 xx "v"_3/"v"_1`  ....(Multiplying and dividing R.H.S. of equation by v1)

`= 3/2 xx 3/4`   ...[From equations (i) and (ii)]

`= 9/8`

The refractive index of glass with respect to water is `9/8`

  Is there an error in this question or solution?
Chapter 6: Refraction of light - Solve the following Questions

RELATED QUESTIONS

How refraction of light is related to refractive index?


The velocity of light in a medium is 1.5 x 108 m/s. What is the refractive index of the medium with respect to air, if the velocity in air is 3 x 108 m/s?


The absolute refractive indices of two media 'A' and 'B' are 2.0 and 1.5 respectively. If the speed of light in medium 'B' is 2 × 108 m/s, calculate the speed of light in:

(i) vacuum,

(ii) medium 'A'.


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 refractive index of diamond is 2.42. What is the meaning of this statement?


The speed of light in air is:

(a) 3 × 108 cm/s
(b) 3 × 108 mm/s
(c) 3 × 108 km/s
(d) 3 × 108 m/s


Refractive indices of carbon disulphide and ethyl alcohol are 1.63 and 1.36 respectively. Which is optically denser?


The refractive index of glass for light going from air to glass is .

The refractive index for light going from glass to air will be:

(a) `1/3`

(b) `4/5`
(c) `4/6` 
(d) `5/2`


Refractive indices of water, sulphuric acid, glass and carbon disulphide are 1.33, 1.43, 1.53 and 1.63 respectively. the light travels slowest in:

(a) sulphuric acid
(b) glass
(c) water
(d) carbon disulphide  


State Snell’s law of refraction of light. Write an expression to relate refractive index of a medium with speed of light in vacuum.

The refractive index of a medium ‘a’ with respect to medium ‘b’ is 2/3 and the refractive index of medium ‘b’ with respect to medium ‘c’ is 4/3. Find the refractive index of medium ‘c’ with respect to medium ‘a’.


With the help of a ray diagram, state what is meant by refraction of light. State Snell’s law for refraction of light and also express it mathematically.

The refractive index of air with respect to glass is 2/3 and the refractive index of water with respect to air is 4/3. If the speed of light in glass is 2 × 108 m/s, find the speed of light in (a) air, (b) water.


Fill in the blank and Explain the completed sentences.
 Refractive index depends on the ______ of light.


Prove the statement.

 If the angle of incidence and angle of emergence of a light ray falling on a glass slab are i and e respectively, prove that, i = e.


Mark the correct answer in the  question.

 If the refractive index of glass with respect to air is 3/2, what is the refractive index of air with respect to glass?


If in a medium, the speed of light is 1.5 × 108 m/s how much will the absolute refractive index of that medium be?


Solve the example.

If the absolute refractive indices of glass and water are 3/2 and 4/3 respectively, what is the refractive index of glass with respect to 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?


The velocity of light in a medium is 1.5 x 188 m/s. What is the refractive index of the medium with respect to air, if the velocity in the air is 3 x 108 m/s?


_______ is the unit of refractive index.


n = _______. This law is also called as Snell’s law.


If the refractive index of air with respect to glass is 2/3. What is the refractive index of glass with respect to air?


2n1 : Refractive index of medium 2 with respect to medium 1 : : 1n2 : _______


Refractive index of air : 1.0003 : : refractive index of water : _______


Purple has the lowest refractive index.


If the absolute refractive index of water is 1.36, find the speed of light in water. (Speed of light in vacuum = 3 × 108 m/s.)


Solve the following example.
Speed in first medium, v1 = 3 × 108 m/s 
Speed in second medium, v2 = 2 × 108 m/s
Then 2n1 = ?


Define the refractive index of a medium.


The velocity of light in a vacuum is 3 x 108 ms-1 and in glass is 2 x 108 ms-1. The refractive index of glass is ______.


Match the correct pair:

Column ‘A’ Column ‘B’
Refractive index of water (a) 1.31
  (b) 1.36
  (c) 1.33

How is the refractive index of material related to the velocity of light?


What happens when a light ray passes from a rarer medium to a denser medium?


The refractive index of glass with respect to air is `5/4` and the refractive index of water with respect to air is `4/3`. Then what will be the refractive index of glass with respect to water?


Match the pair:

Group 'A'   Group 'B'
Substance   Refractive index
Air (a) 1.33
  (b) 1.46
  (c) 1.0003

Share
Notifications



      Forgot password?
Use app×