A ray of light is incident on a surface of glass slab at an angle - 45-o- If the lateral shift produced per unit thickness is - 1-3- then the angle of refraction produced is- tan-1-3-2- sin-1- 1-2-3- tan-1- 1-2-3- tan-1-2-3-1-

A ray of light travelling in air strikes the glass surface at an angle of incidence $60^{\circ}$ . Find the angle of refraction in glass if refractive index of glass is $\frac{3}{2}$ ? (given $s i n 60^{\circ} = \frac{\sqrt{3}}{2}$ and $s i n 35^{\circ} = \frac{1}{\sqrt{3}}$ )

Q. A ray of light travelling in a medium of refractive index

n_{1}

is incident on a medium of refractive index

n_{2} (< n_{1})

at an angle of incidence

θ

. The reflected and refracted rays make an angle of

120^{0}

with each other. Then the critical angle for the boundary separating the two media is

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A ray of light is incident on a surface of glass slab at an angle 45o. If the lateral shift produced per unit thickness is 1/√3, then the angle of refraction produced is?

The correct option is C tan−1(1−√23)Lateral shift, Y=tsin(i−r)cosrYt=sin(i−r)cosr=sinicosr−cosisinrcosr[using identity, sin(A−B)=sinA⋅cosB−cosA⋅sinB]=sini−cositanr⇒1√3=sin45o−cos45otanr=1√2(1−tanr)⇒√23=1−tanr⇒tanr=1−√23∴r=tan−1(1−√23).

A ray of light is incident on a surface of glass slab at an angle $45^{o}$ . If the lateral shift produced per unit thickness is $1 / \sqrt{3}$ , then the angle of refraction produced is?