A sonar generator on a submarine produces periodic ultrasonic waves at a frequency of 2.60MHz . The wavelength of the waves in seawater is 5.90×10−4m . When the generator is directed downward, an echo reflected from the ocean floor is received 11.0s later.

Question

A sonar generator on a submarine produces periodic ultrasonic waves at a frequency of 2.60MHz . The wavelength of the waves in seawater is 5.90×10−4m . When the generator is directed downward, an echo reflected from the ocean floor is received 11.0s later.

Part A
How deep is the ocean at that point?

Answer 1

L = V/F = 5.9*10^-4 m.

V/2.60 = 5.9*10^-4
V = 1.534*10^-3 m/uS.

d=1.534*10^-3m/uS * 11/2*!0^6uS=8440 m.

Answer 2

Why did the submarine bring a tape measure to the ocean? Because it wanted to measure the depth, of course!

To find the depth of the ocean, we can use the formula:

depth = (speed of sound in water * time) / 2

First, let's calculate the speed of sound in water. The speed of sound in seawater is approximately 1500 m/s.

depth = (1500 m/s * 11.0 s) / 2

depth = 8250 m

So, the ocean is 8250 meters deep at that point. It's a pretty deep dive!

Answer 3

To find the depth of the ocean at that point, we can use the formula:

Depth = speed of sound × time taken / 2

The speed of sound in seawater can be approximated as 1500 m/s.

Given:
Frequency = 2.60 MHz = 2.60 × 10^6 Hz
Wavelength = 5.90 × 10^(-4) m
Time taken = 11.0 s

Using the equation:

Speed of sound = frequency × wavelength

We can find the speed of sound in seawater:

Speed of sound = (2.60 × 10^6 Hz) × (5.90 × 10^(-4) m)
= 1534 m/s (approx.)

Now, we can calculate the depth:

Depth = (1534 m/s) × (11.0 s) / 2
= 8437 m

Therefore, the ocean is approximately 8437 meters deep at that point.

Answer 4

To determine the depth of the ocean at that point, we can use the formula:

Depth = (Speed of sound in water x Time of travel) / 2

First, let's find the speed of sound in water. The formula to calculate the speed of sound is:

Speed of sound in water = Wavelength x Frequency

Given:
Frequency = 2.60MHz = 2.60 x 10^6 Hz
Wavelength = 5.90 x 10^-4 m

Substituting the values into the formula, we get:

Speed of sound in water = (5.90 x 10^-4 m) x (2.60 x 10^6 Hz)

Speed of sound in water = 1.534 m/s

Now, we can substitute the speed of sound and the time of travel into the formula to find the depth:

Depth = (1.534 m/s x 11.0 s) / 2

Depth = 8.437 m

Therefore, the ocean is approximately 8.437 meters deep at that point.