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Standard X

Physics

Refraction at Planar Surface

AB and CD are...

Question

AB and CD are two slabs. The medium between the slabs has refractive index 2. Find the minimum angle of incidence at Q so that the ray is totally reflected by both the slabs

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Solution

The correct option is A 60 $^{\circ}$
$θ_{c r i c} m_{1} m_{2} = s i n^{- 1} (\frac{\sqrt{3}}{2}) = 60^{0}$

$θ_{c r i c} m_{2} m_{3} = s i n^{- 1} (\frac{1}{\sqrt{2}}) = 45^{0}$

$θ \geq 60^{0}$

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AB and CD are two slabs. The medium between the slabs has refractive index 2. Find the minimum angle of incidence at Q so that the ray is totally reflected by both the slabs

The correct option is A 60∘θcricm1m2=sin−1(√32)=600θcricm2m3=sin−1(1√2)=450θ≥600

The correct option is A 60 $^{\circ}$
$θ_{c r i c} m_{1} m_{2} = s i n^{- 1} (\frac{\sqrt{3}}{2}) = 60^{0}$

$θ_{c r i c} m_{2} m_{3} = s i n^{- 1} (\frac{1}{\sqrt{2}}) = 45^{0}$

$θ \geq 60^{0}$