Q.

ACB is a right angled glass prism of reflective index 1.5. A,B  and C  are 600 , 300  and 900  respectively. A thin layer of a liquid is on the face AB. For a ray of light which is incident normally on AC to be totally reflected at AB, the refractive index of the liquid on AB shall be

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a

1.5

b

1.4

c

1.3

d

1.2

answer is C.

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Detailed Solution

μ1sini=μ2sinr 1.5sin60=μ2sin90 μ2=1.532=1.3
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ACB is a right angled glass prism of reflective index 1.5. A,B  and C  are 600 , 300  and 900  respectively. A thin layer of a liquid is on the face AB. For a ray of light which is incident normally on AC to be totally reflected at AB, the refractive index of the liquid on AB shall be