Physics - Standing Waves


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Flashcards

When is a standing wave formed?


When two waves with the same frequency and amplitude travelling in opposite directions are superimposed.

What are the points of total constructive interference in a standing wave called?


Antinodes.

What are the points of total destructive interference in a standing wave called?


Nodes.

What is the seperation between adjacent nodes or antinodes in a standing wave?


\[\frac{\lambda}{2}\]

How much energy transfer is there in a standing wave?


None, since the waves making it are travelling in opposite directions.

How can you form a standing wave using microwaves?


Reflect microwaves from a microwave transmitter off a metal plate some multiple of the wavelength awy.

Why are waves closer to the metal plate better at creating total nodes in a microwave standing-wave experiment?


Because there is the smallest difference in distance travelled and therefore smallest difference in amplitude.

What is the phase difference for each point on the trough of a standing wave?


\[0\]

They are in phase.

What is the phase difference for each point on the peak of a standing wave?


\[0\]

They are in phase.

2021-07-01

What’s another word for a standing wave?


A stationary wave.

PHOTO STATIONARY WAVE STRING Why does is a stationary wave formed when a taut string is plucked?


Because two progressive waves travel in opposite directions and reflect off the nodes.

PHOTO STATIONARY WAVE STRING What is the wavelength of the progressive wave formed by plucking this string?


\[\lambda = 2L\]

What is the fundamental mode of vibration of a string?


The simplest standing wave that can be formed by progressive waves travelling along the string.

What is the fundamental frequency of a string?


The frequency of the progressive wave that forms the simplest standing wave on a string.

What’s the frequency of the 1st harmonic in terms of the fundamental frequency $f _ 0$?


\[f_0\]

What’s the frequency of the 2st harmonic in terms of the fundamental frequency $f _ 0$?


\[2f_0\]

What’s the frequency of the 5th harmonic in terms of the fundamental frequency $f _ 0$?


\[5f_0\]

Why is the speed of sound greater at night time?


The speed of sound is temperature dependent.

What is true about the speed of progressive waves along a string at fixed tension?


It is constant.

2021-09-19

When might the wavelength of the fundemental mode/first harmonic in a stationary wave be $\frac{\lambda}{4}$?


When the stationary wave is formed in a closed tube.

What two situations might mean the wavelength of the fundemental mode/first harmonic in a stationary wave is $\frac{\lambda}{2}$?


When the stationary wave is formed on a fixed string or an open tube.

What do you find at the ends of an open tube when forming a stationary wave?


Antinodes.

What is the formula for the fundamental mode of a string with length $L$, tension $T$ and mass per unit length $\mu$?


\[f = \left\frac{1}{2L}\sqrt{\frac{T}{\mu}}\right\]

2022-06-01

What are at both ends of a standing wave present on a string fixed at both ends?


Nodes.

What are at either ends of a standing wave present on a string fixed at one end?


  • Fixed: Node
  • Open: Antinode

What are at both ends of a standing wave present in an open pipe?


Antinodes.

What are at either ends of a standing wave present on a pipe with one closed end?


  • Closed: Node
  • Open: Antinode.



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