Question

Two clear but non-mixing liquids each of depth 15 cm are placed together in a glass container. The liquids have refractive indices of 1.75 and 1.33. What is the apparent depth of the combination when viewed from above?

Answer 1

Answer:

The apparent depth d = 19.8495 cm

Explanation:

The equation for apparent depth can be expressed as:

$d = \dfrac{d_1} {\mu_1}+\dfrac {d_2}{\mu_2}$

here;

$d_1 = d_2 = 15 \ cm$

$\mu_1$ = refractive index in the first liquid = 1.75

$\mu_2$ = refractive index in the second liqquid= 1.33

∴

$d = \dfrac{15}{1.75}+\dfrac{15}{1.33}$

$d = 15( \dfrac{1}{1.75}+\dfrac{1}{1.33})$

$d = 15( 0.5714 +0.7519)$

d = 15(1.3233 ) cm

d = 19.8495 cm