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A ray of light is incident at an angle of incidence 60° on the glass slab of refractive index √3. After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4√3 cm. The thickness of the glass slab is _______ cm. |
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Answer» Correct answer is (12) \(l=tsin\, i\left[1-\frac{cos i}{\sqrt{\mu^2-sin^2i}}\right] \) \(\Rightarrow 4\sqrt3=t sin 60^{\circ}\left[1-\cfrac{cos60^{\circ}}{\sqrt{3-\frac34}}\right] \) \(4\sqrt 3 = t \times \frac{\sqrt 3}{2}\)\( \left[1 - \cfrac{\frac 1 2}{\sqrt{3 - \frac 3 4}}\right] \) \(4\sqrt 3 = t \times \frac{\sqrt 3}{2}\)\( \left[1 - \cfrac{\frac 1 2}{\frac 3 2}\right] \) \(4\sqrt 3 = t \times \frac{\sqrt 3}{2} \times \frac 2 3\) \(4\sqrt 3 = t \times \frac{\sqrt 3}{2} \times \frac{2}{\sqrt 3 \times \sqrt 3}\) \(t = 4 \times \sqrt 3 \times \sqrt 3\) t = 12 |
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