Suppose that you spotted a fish swimming in a peaceful lake. It seemed to you that the fish was 1 meter underneath the water surface. Assume that you directed your sight along a line that was perpendicular to the water surface when you saw the fish. What was the actual distance from the fish to the surface?

Respuesta :

To develop this problem we will apply the concepts related to the apparent depth.

The apparent depth is a relationship between the measured distance and the refractive coefficient of the medium in which the measurement is made.

Theoretically, this coefficient for water is n = 1.33 and the formula can mathematically be described as

[tex]d_{app} = \frac{d}{n_w}[/tex]

Now what you need to find is the real distance, rearranging the equation

[tex]d = d_{app}n_{w}[/tex]

Replacing,

[tex]d = 1*1.33[/tex]

[tex]d = 1.33 m[/tex]

Therefore the actual distance from the fish to the surface is 1.33m

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