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 cm and depth of water is 5 cm, how much thepage will appear to be shifted if viewed from the top ?

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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 cm and depth of water is 5 cm, how much the
page will appear to be shifted if viewed from the top ?

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1.5833 cm

3.581 cm

1.90 cm

1.033 cm

answer is C.

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Detailed Solution

$\begin{array}{l} shift = t_{1} [1 - \frac{1}{μ_{w}}] + t_{2} (1 - \frac{1}{w_{g}}) \\ 1 [1 - \frac{1}{1 .5}] + 5 (1 - \frac{1}{1 .5 / 1 .33}) = 1 .5833 \end{array}$