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 ?

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 ? (A) 1.033 cm (B) 3.581 cm (C) 1.3533 cm (D) 1.90 cm

Tardigrade Admin · Accepted Answer

Real depth = 5 cm + 1 cm = 6 cm Apparent depth-(d1/μ1) +(d2/μ2) + ldots =(5/1.33)+(1/1.5) ≃ 3.8+0.7 ≃ 4.5 cm ∴ Shift =6 cm -4.5 cm ≅ 1.5 cm

Q. 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 $1 c m$ and depth of water is $5 c m$ , how much the page will appear to be shifted if viewed from the top ?

$1.033 c m$

$3.581 c m$

$1.3533 c m$

$1.90 c m$

Real depth = $5 c m + 1 c m = 6 c m$
Apparent depth- $\frac{d _{1}}{μ _{1}} + \frac{d _{2}}{μ _{2}}$ $+ \dots$
$= \frac{5}{1.33} + \frac{1}{1.5}$
$≃ 3.8 + 0.7 ≃ 4.5 c m$
$∴$ Shift $= 6 c m - 4.5 c m ≅ 1.5 c m$

Q. 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 1cm and depth of water is 5cm , how much the page will appear to be shifted if viewed from the top ?

1.033cm

3.581cm

1.3533cm

1.90cm