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 depth of water is 5 cm, how much the page will appear to be shifted if viewed from the top?     JEE Main Online Paper ( Held On 25  April 2013 )

A) 1.033 cm                             

B) 3.581 cm

C) 1.3533 cm                           

D) 1.90 cm

Correct Answer: C

Solution :

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