A goldfish is swimming at 1.20 cm/s toward the front wall of a rectangular aquarium. What is the apparent speed of the fish measured by an observer looking in from outside the front wall of the tank?

Respuesta :

Answer:4.05 cm/s

Explanation:

Given

Speed of goldfish towards [tex]v_1=1.2 cm/s[/tex]

Refractive index of water [tex]n_1=\frac{4}{3}[/tex]

Apparent Speed of fish can be obtained by

[tex]\frac{n_1}{v_1}+\frac{n_2}{v_2}=\frac{n_2-n_1}{R}[/tex]

where [tex]n_2=refractive\ index\ of\ air[/tex]

[tex]R=radius\ of\ curvature[/tex]

[tex]v_2=apparent\ velocity[/tex]

[tex]\frac{1.33}{1.2}+\frac{1}{v_2}=\frac{1.33-1}{\infty }[/tex]

[tex]v_2=\frac{5.4}{1.33}[/tex]

[tex]v_2=4.05 cm/s[/tex]

Answer:4.05 cm/s

Explanation: