What is the apparent depth of the fish when viewed at normal incidence to the wa

Question

What is the apparent depth of the fish when viewed at normal incidence to the water? A tank whose bottom is a mirror is filled with water to a depth of 20.5 cm . A small fish floats motionless 6.30 cm under the surface of the water. Express your answer in centimeters. Use 1.33 for the index of refraction of water. View Available Hint(s) cm Submit Part B What is the apparent depth of the reflection of the fish in the bottom of the tank when viewed at normal incidence? Express your answer in centimeters. Use 1.33 for the index of refraction of water. View Available Hint(s)

Explanation / Answer

Part A

n = real depth/apparent depth

4/3 = 6.3/ a.d

a.d = 6.3 x3/4 = 4.725cm

Part B

Distance of fish from mirror = 20.5-6.3 = 14.2cm

In simple words, the image will travel a total distance of 14.2cm + 20.5cm = 34.7 cm

Using the same equation above,

n = real/apparent

4/3 = 34.7 / a.d

a.d = 3/4 x 34.7 = 26.025cm

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