Question

A vessel contains water up to a height of 20 cm and above the water is oil up to another 20 cm. The refractive indices of the water and the oil are 1.33 and 1.30 respectively. The apparent depth of the vessel when viewed from above:

• A. 4.6cm
• B. 5.0cm
• C. 9.6cm
• D. 10cm

Answer 1

The correct option is C

9.6cm

Shift due to water $t_w=(1-\frac{1}{\mu })d=(1-\frac{1}{1.33})20=5cm$
Shift due to oil $t_0=(1-\frac{1}{1.33})20=4.6cm$
Total shift = 9.6 cm