Question

Determine the relationship between the refractive index and the angle of revolution.

Answer 1

Answer:

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Relation Between Critical Angle And Refractive Index. The ratio of velocities of a light ray in the air to the given medium is refractive index. Thus. the relation between critical angle and refractive index can be established as Critical angle is inversely proportional to the refractive index.

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Answer 2

Answer:

SinC=1μab  

Where,

C is the critical angle.

μ is the refractive index of the medium.

a and b represent two medium in which light ray travels.

Critical Angle And Refractive Index Formula :

Formula SI Unit

Critical angle to Refractive index SinC=1μab degree

Refractive index to Critical angle μab=1sinC No SI unit

Critical angle and refractive index relation derivation

The relationship between critical angle and refractive index can be derived as :

Consider a ray of light,

Let the angle of incidence i be critical angle C.

Let the angle of refraction r=900

Refractive index of the rarer medium be μa

Refractive index of the denser medium be μb

Applying Snells Law

sinisinr=μaμb

⇒μbsinC=μasin900

⇒μbμa=1sinC

Thus, we arrive at formula expressing the critical angle and refractive index relation :

μab=1sinC

Hope you understood the relation and conversion between Critical Angle and Refractive Index in Optics.

Explanation: