question_answer

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?

A) 1.033 cm

B) 3.581 cm

C) 1.533 cm

D) 1.90 cm

Correct Answer: C

Solution :

[c] Real depth\[=5cm+1cm=6cm\] Apparent depth \[=\frac{{{d}_{1}}}{{{\mu }_{1}}}+\frac{{{d}_{2}}}{{{\mu }_{2}}}+....\] \[=\frac{5}{1.33}+\frac{1}{1.5}\simeq 3.8+0.7\] \[=4.5cm\] \[\therefore \text{Shift}=6cm-4.5cm\] \[\cong 1.5cm\]