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How is the critical angle related to the refractive index of a medium? - Physics

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प्रश्न

How is the critical angle related to the refractive index of a medium?

संक्षेप में उत्तर

उत्तर

The relationship is `""_amu_m = 1/sin C`

When a light beam enters a liquid (m) from point A, it becomes ∠i = C with normal and emerges from the liquid in medium air, which is rarer, producing ∠r = 90°, or the ray BO becoming parallel to the liquid surface.

∴ `""_mmu_a = sin i/sin r = sin C/(sin 90°)`

Or `""_amu_m = (sin 90°)/sin C = 1/sin C`

∴ `""_amu_m = "R.I of medium" = 1/sin C`

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Critical Angle
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अध्याय 4: Refraction of Light at Plane Surfaces - Exercise 4 (D) 1 [पृष्ठ १००]

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सेलिना Physics [English] Class 10 ICSE
अध्याय 4 Refraction of Light at Plane Surfaces
Exercise 4 (D) 1 | Q 2 | पृष्ठ १००
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