Question 114 of 295

A printed page is pressed by a glass of water. The refractive index of the glass and water is $1.5$ and $1.33$, respectively. If the thickness of the bottom of glass is $1 \mathrm{~cm}$ and depth of water is $5 \mathrm{~cm}$, how much the page will appear to be shifted if viewed from the top ?

A$1.033 \mathrm{~cm}$B$3.581 \mathrm{~cm}$C$1.3533 \mathrm{~cm}$D$1.90 \mathrm{~cm}$

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Answer: (C) $1.3533 \mathrm{~cm}$

Real depth $=5 \mathrm{~cm}+1 \mathrm{~cm}=6 \mathrm{~cm}$


Apparent depth $=\frac{\mathrm{d}_1}{\mu_1}+\frac{\mathrm{d}_2}{\mu_2}+\ldots$
$=\frac{5}{1.33}+\frac{1}{1.5}$
$\simeq 3.8+0.7 \simeq 4.5 \mathrm{~cm}$
$\therefore$ Shift $=6 \mathrm{~cm}-4.5 \mathrm{~cm} \cong 1.5 \mathrm{~cm}$