Standing Waves
Über den Vortrag
Der Vortrag „Standing Waves“ von Jared Rovny, PhD ist Bestandteil des Kurses „Sound“.
Quiz zum Vortrag
What are the boundary conditions which a standing air pressure wave has to satisfy in a half open pipe ?
- The open end must be fixed at atmospheric pressure but the pressure at the closed end can be at maximum or minimum amplitude
- Both the open and closed end are fixed at atmospheric pressure
- Both the open and closed end can be at maximum or minimum pressure
- The open end is at minimum pressure but the closed end is at maximum pressure
- The pressure at the open end can be at maximum or minimum pressure as there is flexibility for oscillation but the closed end is fixed at atmospheric pressure as there is no flexibility for change
Why can the pressure in a pipe be maximized or minimized at the closed end of the pipe but not the open end ?
- Air cannot move past the closed end and equilibrate the pressure whereas in the open end this is possible
- The wall pushes air molecules to the highest possible pressure but in the open end this is not possible
- Air molecules bounce against the wall and cause more pressure
- The wall produces a beat frequency with higher pressure
- The closed end is in opposition to the open end, where the pressure is produced
Why is there a minimum frequency (lowest pitch) that can resonate in a pipe?
- The boundary conditions at the ends of the pipe cannot be matched by sound waves that have longer wavelengths
- The pipe cannot vibrate at lower frequencies, because of its limited size
- Lower frequencies have very short wavelengths, which are too short to meet the end conditions of the pipe
- Longer wavelengths will not be able to maximize or minimize the pressure at the closed or open ends of a pipe
- Sound waves move too quickly to allow lower frequencies to stay in a pipe of finite length
What does the letter n represent in the equation for the allowed wavelengths of standing waves in a half open pipe: λ = 4L/(2n + 1) ?
- n = 0, 1, 2, 3, …
- n = 0, L, 2L, 3L, …
- n = 1, 2, 3, ...
- n = 1, 3, 5, ...
- n = 0, 2, 4, ...
What is the formula for the allowed frequencies of standing waves in a half open pipe of length L ? The formula for the allowed wavelengths is λ = 4L/(2n + 1) and consider v as the speed of sound in air.
- f = v(2n+1)/(4L)
- f = 4Lv/(2n + 1)
- f = 4L/(2n + 1)
- (2n+1)/(4Lv)
- f = 2πv(2n+1)/(4L)
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Dozent des Vortrages Standing Waves
Jared Rovny, PhD
Dr. Jared Rovny has been a Lecturer at Yale University in Connecticut, USA since 2013.
He obtained his PhD in Physics from Yale University in 2019. He was awarded the D. Allan Bromley Graduate Fellowship in Physics in 2019 and the Princeton Quantum Institute Postdoctoral Fellow in 2020.
Currently, he works with Yale's Center for Teaching and Learning at Yale University.
Due to his achievements, he earned the Yale College Prize Teaching Fellowship for his work in PHYS 171 (University Physics for the Life Sciences).
Within Lecturio, Dr. Rovny teaches courses on Physics.
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