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

The apparent depth d = 19.8495 cm

Step-by-step explanation:

The equation for apparent depth can be expressed as:

`d = \frac{d_1} {\mu_1}+\frac {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 = (15)/(1.75)+(15)/(1.33)`

`d = 15( (1)/(1.75)+(1)/(1.33))`

`d = 15( 0.5714 +0.7519)`

d = 15(1.3233 ) cm

d = 19.8495 cm