# A monochromatic light passes from medium 1 to medium 2,if angle of incidence in medium 1 is x and the corresponding angle of refraction in medium 2 by x/2.which of the two media is opticaly denser.give reason?

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by dudes

2016-05-02T20:00:47+05:30

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Medium 2 is optically denser as the angle of refraction is less than the angle of incidence...
2016-05-03T13:59:24+05:30

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When the light ray passes from an optically lighter to denser medium, the light ra y  bends towards the normal to the interface at the point of incidence.  That means that the angle of refraction is less in the denser medium.

In the given example, medium 1  is the lighter one and medium2 is denser.
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The actual reason for the bending of light ie., angle of refraction being smaller than angle of incidence is because of speed of light being less in a denser medium.  Light rays travel with less speed due to optical resistance faced.

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formula wise,        μ₁ sin i  =   μ₂  sin r
i  = x  >  r = x/2,  so    μ₂  > μ₁

so medium 1 is lighter as refractive index is less.   Refractive index of vacuum (lightest) is 1 and all other media have that more than 1.