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प्रश्न
What is meant by the refractive index of a substance?
उत्तर
If i is the angle of incidence and r is the angle of refraction, we get:
`sin i/sin r` = constant
This constant value is called the refractive index of the medium in which light enters through air. Refractive index of a medium can also be expressed in terms of speed of light as follows:
1n2 =`"speed of light in medium 1"/"speed of light in medium 2"`
Here, 1n2 is the refractive index of medium 2 with respect to medium 1.
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संबंधित प्रश्न
The refractive index of diamond is 2.42. What is the meaning of this statement in relation to the speed of light?
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.
The speed of light in air is 3 × 108 m/s. In medium X its speed is 2 × 108 m/s and in medium Y the speed of light is 2.5 × 108 m/s Calculate:
(a) air nx
(b) air nY
(c) x nY
The refractive indexes of four substances P, Q, R and S are 1.77, 1.50, 2.42 and 1.31 respectively. When light travelling in air is incident on these substances at equal angles, the angle of refraction will be the maximum in:
(a) substance P
(b) substance Q
(c) substance R
(d) substance S
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.
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?
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