Optics Question 808
Question: 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?
Options:
A) 1.033 cm
B) 3.581 cm
C) 1.533 cm
D) 1.90 cm
Show Answer
Answer:
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 Shift=6cm-4.5cm $
$ \cong 1.5cm $
