A vessel of height h is half filled with one liquid of refractive index $\mu_1$ and upper half filled with another liquid of refractive index $\mu_2$ The apparent depth of the vessel is

$(a)\;\bigg( \frac{1}{\mu_1}+\frac{1}{\mu_2}\bigg) h \\ (b)\;2h \bigg( \frac{1}{\mu_1}+\frac{1}{\mu_2}\bigg) \\ (c)\;\frac{h}{2}\bigg( \frac{1}{\mu_1}+\frac{1}{\mu_2}\bigg) \\ (d)\;\frac{h}{\mu_1\mu_2}$

1 Answer

apparent depth $=\large\frac{d_1}{\mu_1} +\frac{d_2}{\mu_2}$
$\qquad= \large\frac{h/2}{\mu_1} +\frac{h/2}{\mu_2}$
$\qquad= \large\frac{h}{2} \bigg[ \large\frac{1}{\mu_1}+\frac{1}{\mu_2}\bigg]$
Hence c is the correct answer.
answered Jan 22, 2014 by

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