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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Solve the following example. Speed in first medium, v1 = 3 × 108 m/s Speed in second medium, v2 = 2 × 108 m/s Then 2n1 = ? - Science and Technology 1

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प्रश्न

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

संख्यात्मक

उत्तर

Given: Speed of light in first medium (v1) = 3 × 108 m/s,

Speed of light in second medium (v2) = 2 × 108 m/s

To find: Refractive index of the second medium with respect to the first medium (2n1)

Formula: 2n1 = `"v"_1/"v"_2`

Calculation: From formula,

2n1 = `(3 xx 10^8)/(2 xx 10^8)` = 1.5

Refractive index of the second medium with respect to the first medium (2n1) is 1.5.

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पाठ 6: Refraction of light - Solve the following Questions

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संबंधित प्रश्‍न

How refraction of light is related to refractive index?


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.


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'.


A ray of light travelling in air enters obliquely into water. Does the light ray bend towards the normal or away from the normal? Why?


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


A ray of light travelling in air goes into water. The angle of refraction will be:

(a) 90°
(b) smaller than the angle of incidence
(c) equal to the angle of incidence
(d) greater than the angle of incidence


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


A ray of light travelling in water falls at right angles to the boundary of a parallel-sided glass block. The ray of light:

(a) is refracted towards the normal
(b) is refracted away from the normal
(c) does not get refracted
(d) is reflected along the same path


The refractive index of diamond is 2.42. What is the meaning of this statement in relation to the speed of light?


Define Snell's law of refraction. A ray of light is incident on a glass slab at an angle of incidence of 60°. If the angle of refraction be 32.7°, calculate the refractive index of glass. (Given : sin 60° = 0.866, and sin 32.7° = 0.540).


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.


 State and explain the laws of refraction of light with the help of a labelled diagram. 


The refractive indices of four substance P, Q, R and S are 1.50, 1.36, 1.77 and 1.31 respectively. The speed of light is the maximum in the substance: 

(aP
(bQ
(cR
(d


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`


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


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  


The refractive index of glass with respect to air is `3/2` and the refractive index of water with respect to air is `4/3`. The refractive index of glass with respect to water will be:

(a) 1.525
(b) 1.225
(c) 1.425
(d) 1.125


State the laws of refraction of light. Explain the term 'absolute refractive index of a medium' and write an expression to relate it with the speed of light in vacuum.


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.


Name a liquid whose mass density is less than that of water but it is optically denser than water.


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.


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.


Light travel fastest in ______.


Noor, a young student, was trying to demonstrate some properties of light in her Science project work. She kept ‘X’ inside the box (as shown in the figure) and with the help of a laser pointer made light rays pass through the holes on one side of the box. She had a small butter-paper screen to see the spots of light being cast as they emerged.

If the object inside the box was made of a material with a refractive index less than 1.5 then the ______.


Match the Columns:

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

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


Match the pair:

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

Absolute refractive indices of diamond and water are 2.42 and 1.33 respectively. Find the value of refractive index of water w.r.t. diamond.


The ability of medium to refract light is expressed in terms of its optical density. Optical density has a definite connotation. It is not the same as mass density. On comparing two media, the one with the large refractive index is optically denser medium than the other. The other medium with a lower refractive index is optically rarer. Also the speed of light through a given medium is inversely proportional to its optical density.
  1. Determine the speed of light in diamond if the refractive index of diamond with respect to vacuum is 2.42. Speed of light in vacuum is 3 × 108 m/s. 
  2. Refractive indices of glass, water and carbon disulphide are 1.5, 1.33 and 1.62 respectively. If a ray of light is incident in these media at the same angle (say θ), then write the increasing order of the angle of refraction in these media. 
  3. (A) The speed of light in glass is 2 × 108 m/s and is water is 2.25 × 108 m/s.
    (a) Which one of the two optically denser and why?
    (b) A ray of light is incident normally at the water glass interface when it enters a thick glass container filled with water. What will happen to the path of the ray after entering the glass? Give reason. 
    OR
    (B) The absolute refractive indices of glass and water are 4/3 and 3/2, respectively. If the speed of light in glass is 2 × 108 m/s, calculate the speed of light in (i) vacuum (ii) water.

  1. Explain why the refractive index of any material with respect to air is always greater 1.
  2. In the figure below a light ray travels from air into the semi-circular plastic block. Give a reason why the ray does not deviate at the semi-circular boundary of the plastic block.
  3. Complete the ray diagram of the above scenario when the light ray comes out of the plastic block from the top flat end.

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