Q.

A vessel is half filled with a liquid of refractive index μ. The other half of the vessel is filled with an immiscible liquid of refractive index 1.5μ. The apparent depth of vessel is 50%  of the actual depth. The value of  μ  is

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a

1.6

b

1.67

c

1.5

d

1.4

answer is B.

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Detailed Solution

Question Image

Shift=H2(11μ)+H2(111.5μ)

Apparent depth is 50% of actual depth

That means shift =H2

 (H2)(11μ)H2(123μ)=H2 

H2=H2μ+H3μ

μ=106=1.67

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