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Q.

In a thick glass slab of thickness l, and refractive index n1 a cuboidal cavity of thickness 'm' is carved as shown in figure and is filled with a liquid of RI n2 (n1 > n2). The ratio l/m, so that shift produced by this slab is zero when an observer r4 observesan object B with paraxial rays is

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a

n1−n2n2−1

b

n1−n2n2n1−1

c

n1−n2n1−1

d

n1−n2n1n2−1

answer is B.

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Detailed Solution

Shift =(l−m)1−1n1+m1−1n2=0
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In a thick glass slab of thickness l, and refractive index n1 a cuboidal cavity of thickness 'm' is carved as shown in figure and is filled with a liquid of RI n2 (n1 > n2). The ratio l/m, so that shift produced by this slab is zero when an observer r4 observesan object B with paraxial rays is