Two strings of different mass per unit length and are tied together and stretched with a tension F. A wave travels along the string and passes the discontinuity in . Which of the following wave properties will be the same on both sides of the discontinuity, and which will change: speed of the wave; frequency; wavelength? Explain the physical reasoning behind each answer.
The speed and wavelength of the wave changes but the frequency remains the same.
Tension on string linear mass density is equal to the wave speed.
Because each string's linear mass density is different, the wave's speed will be different as well.
As a result, the speed will vary.
The length of a wave is determined by its speed. When the speed of a wave increases, it means that the wave travels further in a given time interval than in the previous circumstance. It accomplishes this by increasing the wavelength. As a result, Wavelength will change.
The frequency of the wave would remain constant as it moved from one string to another with varied linear mass density. The reason is that as mass per unit length increases, wave speed decreases on decreasing the wavelength and vice versa.
Here, is the velocity and is the wavelength of the wave.
So, the frequency would remain the same.
Because the speed of ultrasound in bone is about twice the speed in soft tissue, the distance to a structure that lies beyond a bone can be measured incorrectly. If a beam passes through of tissue, then of bone, and then another of tissue before echoing off a cyst and returning to the transducer, what is the difference between the true distance to the cyst and the distance that is measured by assuming the speed is always ? Compared with the measured distance, the structure is actually
Two identical loudspeakers are located at points A and B, 2.00 m apart. The loudspeakers are driven by the same amplifier and produce sound waves with a frequency of 784 Hz. Take the speed of sound in air to be 344 m/s. A small microphone is moved out from point B along a line perpendicular to the line connecting A and B (line BC in Fig. P16.65). (a) At what distances from B will there be destructive interference? (b) At what distances from B will there be constructive interference? (c) If the frequency is made low enough, there will be no positions along the line BC at which destructive interference occurs. How low must the frequency be for this to be the case?
You blow across the open mouth of an empty test tube and produce the fundamental standing wave of the air column inside the test tube. The speed of sound in air is 344 m/s and the test tube act as a stopped pipe. (a) If the length of the air column in the test tube is 14.0 cm, what is the frequency of this standing wave? (b) What is the frequency of the fundamental standing wave in the air column if the test tube is half filled with water?
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