Refraction problem, involving mirrors

AI Thread Summary
The problem involves calculating the apparent depth of a fish in a water-filled tank with a mirrored bottom. The fish is located 7.50 cm below the water surface, and the water depth is 19.3 cm. The apparent depth of the fish was initially calculated as 5.64 cm, while the apparent depth of the mirror was found to be 14.5 cm. The user then attempted to find the total apparent depth using a formula but initially arrived at an incorrect answer. Ultimately, the correct approach involved using the equation for refraction to arrive at the final solution.
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Homework Statement



A tank whose bottom is a mirror is filled with water to a depth of 19.3 cm. A small fish floats motionless 7.50 cm under the surface of the water.

What is the apparent depth of the reflection of the fish in the bottom of the tank when viewed at normal incidence?

Homework Equations



s = (n1/n2) * s'
therefore
s' = s/(n1/n2)

The Attempt at a Solution



I found the apparent depth of the fish to be 5.64 (viewed from the normal). Then i found the apparent depth of the mirror to be 14.5, and then used the property of mirrors (virtual image distance = real distance, s=s')

(14.5-5.64)*2=17.72, incorrect
 
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nevermind, i got it

i did [[(19.3*2) -7.5] /1.33]
 
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