State the Snell's law of refraction of light. Write an expression to relate refractive index from a medium with respect to light in vacuum.?

Question

Answer

When a light ray passes from one transparent medium to another transparent medium..then the ratio of sin of angle of incident to the sin of angle of refraction is constant (r.r.i) e.g.{ sini / sinr = k } at constant temperature for constant wavelength .

Answer

Answer

Snell's Law of Refraction of Light

Snell's law of refraction of light states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of light in the two media. In mathematical terms, it can be represented as:

n1 sin θ1 = n2 sin θ2

where n1 and n2 are the refractive indices of the two media, θ1 is the angle of incidence, and θ2 is the angle of refraction.

Expression to Relate Refractive Index from a Medium with Respect to Light in Vacuum

The refractive index of a medium with respect to light in vacuum is defined as the ratio of the speed of light in vacuum to the speed of light in the medium. Mathematically, it can be represented as:

n = c/v

where n is the refractive index, c is the speed of light in vacuum, and v is the speed of light in the medium.

When light travels from one medium to another, the refractive index of the second medium with respect to the first medium can be calculated using the following formula:

n2/n1 = v1/v2

where n1 and n2 are the refractive indices of the first and second medium, respectively, and v1 and v2 are the speeds of light in the first and second medium, respectively.

The refractive index is an important property of a medium as it determines the amount of bending that occurs when light passes through it. The higher the refractive index, the greater the bending of light. The refractive index also determines the critical angle, which is the angle of incidence at which the angle of refraction is 90 degrees. Beyond this angle, total internal reflection occurs.

Answer

The ratio of sine of angle of incidence to the sine of angle of refraction is constant. this is known as snells law.

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