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Question

# Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index μ. A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of μ is :

A
35
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B
53
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C
53
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D
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Solution

## The correct option is A 3√5C<ibhere ib is "brewester angle"and c is critical anglesinc<sinib since tanib=μ0cel=1.5μ1μ<1.5√μ2+(1.5)2 ∴sinib=1.5√μ2+(1.5)2√μ2×(1.05)2<1.5×μμ2+(1.5)<(μ×1.5)2μ>3√5slab μ=1.5

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