The refractive index of air with respect to glass is expressed as g-a - sin-i-sin-r- a Write down a similar expression for g-a in terms of the angles i and r- b If angle r - 90- what is the corresponding angle i called- c What is the physical significance of the angle i in part b-

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Standard X

Physics

Critical Angle

The refractiv...

Question

The refractive index of air with respect to glass is expressed as $_{g} μ_{a}$ = $\frac{s i n i}{s i n r}$ .

(a) Write down a similar expression for $_{g} μ_{a}$ in terms of the angles i and r.

(b) If angle r = $90^{\circ}$ , what is the corresponding angle i called?

(c) What is the physical significance of the angle i in part (b)?

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Solution

$left parenthesis a right parenthesis mu presubscript a subscript g equals fraction numerator sin space r over denominator S i n space i end fraction$
(b) If refractive angle, r = $90^{\circ}$ , the corresponding angle of incidence, 'i' will be equal to the critical angle.
(c) If the angle of incidence exceeds the value of 'i' obtained in part (b) (i.e., critical angle), the total internal reflection will occur.

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The refractive index of air with respect to glass is expressed as gμa = sin isin r. (a) Write down a similar expression for gμa in terms of the angles i and r. (b) If angle r = 90∘, what is the corresponding angle i called? (c) What is the physical significance of the angle i in part (b)?

(b) If refractive angle, r = 90∘, the corresponding angle of incidence, 'i' will be equal to the critical angle. (c) If the angle of incidence exceeds the value of 'i' obtained in part (b) (i.e., critical angle), the total internal reflection will occur.