Question

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?

Answer 1

Answer:4.05 cm/s

Step-by-step explanation:

Answer 2

Answer:4.05 cm/s

Step-by-step explanation:

Given

Speed of goldfish towards
`v_1=1.2 cm/s`

Refractive index of water
`n_1=(4)/(3)`

Apparent Speed of fish can be obtained by

`(n_1)/(v_1)+(n_2)/(v_2)=(n_2-n_1)/(R)`

where
`n_2=refractive\ index\ of\ air`

`R=radius\ of\ curvature`

`v_2=apparent\ velocity`

`(1.33)/(1.2)+(1)/(v_2)=(1.33-1)/(\infty )`

`v_2=(5.4)/(1.33)`

`v_2=4.05 cm/s`