A ship mapping the depth of the ocean emits a sound of 37 kHz. The sound travels to the ocean floor and returns 0.65 s later.
(a) How deep is the water at that location?
m
(b) What is the wavelength of the wave in water?
cm
(c) What is the wavelength of the reflected wave as it travels into the air, where the speed of sound is 350 m/s?
mm
C. now answer my question please !
This isn't choosing which one it is;its solving for each question! If you can't help than please don't write nonsense. Thank you.
To solve this problem, we need to use the equation for the speed of sound in a medium:
Speed of sound = Wavelength * Frequency
(a) To find the depth of the water, we first need to calculate the speed of sound in water. The speed of sound in water is 1500 m/s.
Speed of sound = Wavelength * Frequency
1500 m/s = Wavelength * 37,000 Hz
Rearranging the equation to solve for the wavelength:
Wavelength = Speed of sound / Frequency
Wavelength = 1500 m/s / 37,000 Hz
Wavelength = 0.0405 meters
Since the sound wave travels to the ocean floor and back, the distance traveled is twice the depth of the water. Therefore, the depth of the water can be calculated by dividing the total distance traveled by 2:
Depth = (Speed of sound * Time) / 2
Depth = (1500 m/s * 0.65 s) / 2
Depth = 487.5 meters
So, the depth of the water at that location is 487.5 meters.
(b) To find the wavelength of the wave in water, we already calculated it as 0.0405 meters.
Since 1 meter is equal to 100 centimeters, we can convert meters to centimeters:
Wavelength in centimeters = Wavelength in meters * 100
Wavelength in centimeters = 0.0405 meters * 100
Wavelength in centimeters = 4.05 centimeters
Therefore, the wavelength of the wave in water is 4.05 centimeters.
(c) To find the wavelength of the reflected wave as it travels into the air, we need to calculate the speed of sound in air, which is 350 m/s.
Speed of sound = Wavelength * Frequency
350 m/s = Wavelength * 37,000 Hz
Rearranging the equation to solve for the wavelength:
Wavelength = Speed of sound / Frequency
Wavelength = 350 m/s / 37,000 Hz
Wavelength = 0.0095 meters
Since 1 meter is equal to 1000 millimeters, we can convert meters to millimeters:
Wavelength in millimeters = Wavelength in meters * 1000
Wavelength in millimeters = 0.0095 meters * 1000
Wavelength in millimeters = 9.5 millimeters
Therefore, the wavelength of the reflected wave as it travels into the air is 9.5 millimeters.