Standing Waves
Physics ⇒ Waves and Sound
Standing Waves starts at 10 and continues till grade 12.
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Describe how a standing wave is formed on a string fixed at both ends.
Describe the boundary conditions for a standing wave in a pipe closed at one end and open at the other.
Explain the difference between a node and an antinode in a standing wave.
Explain why a node is always present at the closed end of a pipe closed at one end.
A 2.0 m long string is fixed at both ends and vibrates in its fundamental mode. If the speed of the wave is 100 m/s, what is the fundamental frequency?
A pipe closed at one end has a length of 0.85 m. If the speed of sound in air is 340 m/s, what is the fundamental frequency?
A pipe open at both ends has a length of 1.5 m. If the speed of sound is 330 m/s, what is the frequency of the second harmonic?
A string of length 0.5 m is vibrating in its fourth harmonic. How many nodes (including the ends) are present?
Which harmonic has a wavelength equal to the length of the string in a string fixed at both ends?
(1) First harmonic
(2) Second harmonic
(3) Third harmonic
(4) Fourth harmonic
Which of the following best describes a standing wave?
(1) A wave that travels in one direction only
(2) A wave that is reflected and interferes with itself, creating nodes and antinodes
(3) A wave that loses energy as it travels
(4) A wave that cannot be formed on a string
Which of the following best explains why resonance occurs in a standing wave system?
(1) The driving frequency matches a natural frequency of the system
(2) The amplitude of the wave is very small
(3) The wave is damped
(4) The medium is non-uniform
Which of the following is NOT a characteristic of a standing wave?
(1) Energy is transferred along the medium
(2) Nodes and antinodes are formed
(3) The wave appears stationary
(4) It is formed by the superposition of two waves traveling in opposite directions
In a standing wave on a string fixed at both ends, the number of antinodes in the third harmonic is ________.
In a standing wave, the points of maximum displacement are called ________.
In a standing wave, the points of zero amplitude are called ________.
The distance between a node and the nearest antinode in a standing wave is ________ the wavelength.
True or False: In a pipe closed at one end, only odd harmonics are present in the standing wave pattern.
True or False: In a standing wave, all points between two adjacent nodes vibrate in phase.
True or False: In a standing wave, the positions of nodes and antinodes remain fixed.
True or False: The amplitude of a standing wave is the same at all points along the medium.
