Long Answer4. Define critical angle. Derive a relation between critica

1.	Long Answer4. Define critical angle. Derive a relation between critical angle and refractive index.
Answer» the angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected. How do a critical angle and a refractive index relate? Originally Answered: What is the relation between refractive index and critical angle?The critical angle is that angle at which, if a ray is incident while passing from a denser to a rarer medium, the angle of refraction is 90o. ⇒sinicrsin90o=1μ where, sinicr is the critical angle, and, μ is the refractive index for a ray passing from the rarer to the denser medium. ⇒sinicr=1μ ⇒icr=arcsin(1μ). Let us take an example of light passing from water to air. The refractive index for light passing from air to water is 43. ⇒icr=arcsin(34)=48.59o.

Long Answer4. Define critical angle. Derive a relation between critical angle and refractive index.

Answer»

the angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected.

How do a critical angle and a refractive index relate?

Originally Answered: What is the relation between refractive index and critical angle?The critical angle is that angle at which, if a ray is incident while passing from a denser to a rarer medium, the angle of refraction is 90o.

⇒sinicrsin90o=1μ where,

sinicr is the critical angle, and,

μ is the refractive index for a ray passing from the rarer to the denser medium.

⇒sinicr=1μ

⇒icr=arcsin(1μ).

Let us take an example of light passing from water to air. The refractive index for light passing from air to water is 43.

⇒icr=arcsin(34)=48.59o.

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