Calculate the depth of a swimming pool if the apparent depth is 10cm(refractive index of water is 1.33)
A
7.5cm
B
10.0cm
C
13.3cm
D
6.87cm
Verified Correct Answer: C.
Physical Principles & Numerical Solution
The apparent depth of an object in water (as viewed from air) is less than the real depth due to refraction. The relationship is given by:
\(\mu = \frac{\text{Real depth}}{\text{Apparent depth}}\)
where \(\mu\) is the refractive index of water (\(\mu = 1.33\)).
Rearranging for real depth: \(\text{Real depth} = \mu \times \text{Apparent depth} = 1.33 \times 10 \, \text{cm} = 13.3 \, \text{cm}\)
Source: Myschool Past Questions Archive (Record #74486)