what is the index of refraction of water

 

Title:-  what is the index of refraction of water

Introduction:-

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All of we know what is light? Light is a form of energy,which gives us sensation to look anything clearly,without light in our life we cann't imagine a second.Today I will discuss on a small niche of light and that is what is the index of refraction of water.

 Explanation:-

 To go further our discussion, let us first know

What is reflection?

Answer:-Light ray which is travelling from a source through a medium (say air) in a straight line if it is obstructed by another medium or a surface then it bounce back from that medium or surface to the its 1st medium, this property of light is called reflection of light.

In the picture,
      MN = A plane mirror
      AO = Incident ray
      OB = Reflected ray
      OC = Normal
       O = Point of incidence

     <AOC = i = Angle of incidence

     <BOC = r = Angle of reflection
Now we will learn,

What is refraction?

Answer:- Light ray which is coming from a source through a medium in a straight line  when it enters in another medium,then it slightly change the direction of its path on the contact point of two medium, this property of light is called refraction of light.
                 

In the picture,
            Ao = Incident ray.
            OB = Refracted ray
            CD = Normal
            O = Point of contact
            <i = Angle of incidence
            <r = Angle of Refraction

Now we will know  

what is refractive index or index of refraction of light?

Answer:- According to the second law or Snell's law of refraction, the ratio of the sin of angle of incidence to the sin of angle of refraction is always a constant, which is termed as the refractive index or index of refraction of second medium with respect to first medium.
In another way refractive index or index of refraction can be explained as, the ratio of the velocity of light in first medium to the velocity of light in second medium is also a constant,which is know as the refractive index or index of refraction of second medium with respect to first medium.
Mathematically,
Refractive index can be expressed as.
  ¹μ₂ = v₁/v₂
Now I will reflect on our main topic 

what is the index of refraction of water?

Answer:-The index of refraction of water
can be defined as, the ratio of velocity of light in air to the velocity of light in water.
Mathematically, it can be expressed as,
 a
   μ    = Vₐ / Vw               
      w
where,Vₐ = Velocity of light in air
  and  Vw = Velocity of light in water

Some problems related on Refractive index of water or the index of refraction of water.

Question(1)

If the velocity of light in air is 3 × 10⁸ m/s and refractive index of water is 1.33 then find the velocity of light in water.

Answer:-
    Here,
Velocity of light in air(Vₐ) = 3 × 10⁸ m/s
 R.I of water(aμw) =  1.33
∴ Velocity of light in water(Vw) = Vₐ /aμw
          = 3 × 10⁸ / 1.33
          = 300 ×10⁸ /133
          = 2.225 ×10⁸ m/s
                          (approx.)

                                                         

 Question (2)

If the velocity of light in air is 3 × 10⁸ m/s, velocity of light in water is 2.225 ×10⁸ m/s, find refractive index of water.

Answer:-
             Here,
       Velocity of light in air(Vₐ) = 3 × 10⁸ m/s
Velocity of light in water(Vw) = 2.225 ×10⁸ m/s
 ∴  refractive index of water.
= a    =  Vₐ / Vw = 3 × 10⁸ /2.225 ×10⁸ 
     μ                    = 1.34 (approx.)
       w

Question(3)

If velocity of light in water is 2.225 ×10⁸ m/s, refractive index of water is 1.33 then find the velocity of light in air.

Answer:-
  Here,
Velocity of light in water(Vw) = 2.225 ×10⁸ m/s
refractive index of water (aμw) = 1.33
∴ velocity of light in air ( Vₐ) = Vw × aμw
          = 2.225 ×10⁸ × 1.33
          = 2.95925 ×10⁸
          = 3 ×10⁸ m/s (approx.)

Conclusion:-

   So,the index of refraction.....

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FREQUENTLY ASKED QUESTIONS:-

What is the R.I of water?

Answer:- 1.33

What is the R.I of glass?

Answer:- 1.5

what is refractive index or index of refraction of light?

Answer:- According to the second law or Snell's law of refraction, the ratio of the sin of angle of incidence to the sin of angle of refraction is always a constant, which is termed as the refractive index or index of refraction of second medium with respect to first medium.

What is 1.5 index of refraction?

Answer :- Index of refraction of glass is 1.5 which means that the ratio of the velocity of light in air to the velocity of light in glass is 1.5

What is the RI of diamond?

Answer:- The RI of diamond is 2.42 means that the ratio of the velocity of light in air to the velocity of light in diamond is 2.42

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