A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index 1.5. The apparent depth of vessel when v

Question

A vessel is filled with two different liquids which do not mix. One is 40 cm deep and has refractive index 1.6 and other is 30 cm deep and has refractive index 1.5. The apparent depth of vessel when viewed normally is

TestHub · Accepted Answer

The apparent depth of a vessel containing multiple immiscible liquids is the sum of the apparent depths of the individual liquid layers.

The formula for total apparent depth is:

$d_{a pp} = \frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}$

Substituting the given values:

$d_{a pp} = \frac{40}{1.6} + \frac{30}{1.5}$

$d_{a pp} = 25 + 20 = 45 cm$

Answer: 45 cm

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