Knowee
Questions
Features
Study Tools

A fish rising vertically to the surface of water in a lake uniformly at the rate of 3 m/s observes a king-fisher (bird) diving vertically down at a rate of 11 m/s vertically above it. If the refractive index of water is (4/3), find the actual velocity of the dive of the bird.

Question

A fish rising vertically to the surface of water in a lake uniformly at the rate of 3 m/s observes a king-fisher (bird) diving vertically down at a rate of 11 m/s vertically above it. If the refractive index of water is (4/3), find the actual velocity of the dive of the bird.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to use the concept of apparent velocity in the context of refraction.

The formula for apparent velocity (Va) is given by Va = V / μ, where V is the actual velocity and μ is the refractive index.

In this case, the fish observes the bird diving down at a rate of 11 m/s. This is the apparent velocity of the bird as seen by the fish. The refractive index of water is given as 4/3.

We can rearrange the formula for apparent velocity to solve for the actual velocity: V = Va * μ.

Substituting the given values into this equation gives us: V = 11 m/s * 4/3 = 14.67 m/s.

Therefore, the actual velocity of the bird's dive is 14.67 m/s.

This problem has been solved

Similar Questions

While scuba diving, Kendrick rose 8.1meters directly toward the water's surface at a constant velocity. He moved that distance in 1.5minutes, and he was passed by a jackfish swimming south at 15 meters per minute. What was Kendrick's velocity?

A seagull was 120meters west of a pier, flying east at a constant velocity. In 4seconds, it flew one-third of the way to the pier. What was the seagull's velocity?

While on a boat tour along the coast of the Atlantic Ocean, Leo sees a great white shark jump out of the water. The shark travels upward with a velocity of 18 feet per second before splashing back down into the water.To the nearest tenth of a second, how long is the shark in the air?Hint: Use the formula h=–16t2+vt+s. secondsSubmit

A fish in water sees an object which is 33 cm above the surface of water. The apparent height of the object as noticed by the fish is [Take  nw=43𝑛𝑤=43 ]

A 5-kg big fish is swimming at 1 m/s towards a 1-kg small fish at rest as shown in Figure 4. What is the velocity of the larger fish immediately after swallowing the smaller fish for lunch? Ignore the effects of water resistance (Hewitt, 2015).

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.