define refractive index of a transparent medium

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Define refractive of a transparent medium

Define refractive of a transparent medium

Byju's Answer Standard X Physics

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Define refrac... Question

Define refractive of a transparent medium

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Refraction Index. The refraction index, n, of a transparent medium is definedas the ratio of speed of light in vacuum to the speed of light in that medium.

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SIMILAR QUESTIONS

Q. How does the refractive index of a transparent medium affect the speed of light passing through it?Q. Define refractive of a transparent mediumQ. The speed of light in a transparent medium is 2.4*108 m/s .calculate absolute refractive index of the mediumQ. Refractive index of a transparent medium, so that it is invisible in vacuum isQ. What should be the refractive index of a transparent medium to be invisible in vacuum?

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Define 'refractive index of a transparent medium'. What is its unit? Which one has a higher refractive index, glass or water?

Click here👆to get an answer to your question ✍️ Define 'refractive index of a transparent medium'. What is its unit? Which one has a higher refractive index, glass or water?

Question

Define 'refractive index of a transparent medium'. What is its unit? Which one has a higher refractive index, glass or water?

Refractive index of transparent medium is defined as the ratio of speed of light in vacuum to the speed of light through medium.

Medium Open in App Solution Verified by Toppr

That is, Refractive index, n=

v c ​ Where, Speed of light = c

Speed of light in medium = v

It has no unit because it is a ratio of two quantities of same type (speed).

Glass has higher refractive index (1.52) than water, because refractive index of water is 1.33.

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Define the refractive index of a transparent medium, a ray of light passes through a triangular prism. Plot a graph showing the variation of the angle of deviation with the angle of incidence.

Define the refractive index of a transparent medium, a ray of light passes through a triangular prism. Plot a graph showing the variation of the angle of deviation with the angle of incidence.. Ans: Hint: The ratio of the speed of light in air to spe...

Define the refractive index of a transparent medium, a ray of light passes through a triangular prism. Plot a graph showing the variation of the angle of deviation with the angle of incidence.

Answer Verified 181.5k+ views

Hint: The ratio of the speed of light in air to speed of light in the medium is called the Refractive Index. While plotting the graph of the angle of deviation versus angle of incidence, the angle of deviation is taken on the Y-axis while the angle of incidence is taken on X-axis. The resultant graph should be a curved graph.Complete step-by-step solution:

The Refractive index of a transparent medium is defined as the ratio of the speed of light in air i.e. vacuum to the speed of light in a medium. Basically, it measures the bending of light when it travels from one medium to another. It is also called the Index of Refraction.

It is given by the equation,

μ= c v μ=cv where, μ μ

: Refractive index of the medium

c: Speed of light in vacuum

v: speed of light in a medium

Refractive Index is a unitless quantity. The Refractive index of glass is 1.5 while that of water is 1.33. As the refractive index of glass is greater than the refractive index of water, the speed of light in water is faster as compared to that in the glass. Thus, the higher the refractive index, the lower is the speed of light in that medium.

The higher the refractive index, the more the light can bend. Diamond has the refractive index which is 2.42. The Refractive index of air is 1.

The expression for refractive index of the material of a triangular prism is given by,

μ= sin( A+ δ m 2 ) sin( A 2 )

μ=sin⁡(A+δm2)sin⁡(A2)

where, δ m δm

: Angle of minimum deviation

A: Angle of prism

The graph showing variation in the angle of deviation with the angle of incidence is given below:

Note: It is mentioned in the question that plot the graph showing variation in the angle of deviation with the angle of incidence, Hence, the angle of incidence and angle of deviation are taken on X-axis and Y-axis respectively. If it was asked to show variation in the angle of incidence with a change in the angle of deviation then the axes would have exchanged.

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Related Questions Question 1

The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index μ, of the prism, is :

A. 2sinA 2sin⁡A B. 2cosA 2cos⁡A C. 1 2 cosA 12cos⁡A D. tanA tan⁡A Question 2

State whether true or false:

If the angle of incidence is greater than the critical angle, light is not refracted at all, when it falls on the surface from a denser medium to a rarer medium.

A) True B) False Question 3

The critical angle for glass is

41 ∘ 48′ 41∘48′

and that for water is

48 ∘ 36′ 48∘36′

. Calculate the critical angle for glass-water interface.

A. 62 ∘ 28′ 62∘28′ B. 34 ∘ 42′ 34∘42′ C. 52

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