Standing Waves
Physics ⇒ Waves and Sound
Standing Waves starts at 10 and continues till grade 12.
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See sample questions for grade 10
Describe how a standing wave is formed on a string fixed at both ends.
Describe the difference between a node and an antinode in a standing wave.
Describe the difference in the harmonic series of a pipe open at both ends and a pipe closed at one end.
Describe the pattern of nodes and antinodes in the second harmonic of a pipe open at both ends.
A pipe closed at one end and open at the other is 0.5 m long. If the speed of sound is 340 m/s, what is the fundamental frequency?
A pipe open at both ends has a length of 0.85 m. If the speed of sound in air is 340 m/s, what is the fundamental frequency of the pipe?
A standing wave is produced on a string of length 2 m. If there are 3 antinodes, what is the wavelength of the wave?
A string of length 0.8 m is vibrating in its third harmonic. What is the wavelength of the standing wave?
Which of the following best describes a node in a standing wave?
(1) A point of maximum displacement
(2) A point of zero displacement
(3) A point where the wave speed is maximum
(4) A point where the frequency is highest
Which of the following best describes the fundamental mode of vibration for a string fixed at both ends?
(1) One node and one antinode
(2) Two nodes and one antinode
(3) Two nodes and one antinode
(4) Two nodes and two antinodes
Which of the following is a correct statement about the nodes in a standing wave?
(1) Nodes are points of maximum pressure variation in sound waves
(2) Nodes are points where the medium does not move
(3) Nodes are points of maximum displacement
(4) Nodes are always at the ends of the medium
Which of the following is NOT a characteristic of standing waves?
(1) Energy is transferred along the medium
(2) Nodes and antinodes are formed
(3) The wave appears stationary
(4) Formed by the superposition of two waves
Fill in the blank: In a pipe closed at one end, the first overtone corresponds to the ________ harmonic.
Fill in the blank: In a standing wave, the points that remain stationary are called ________.
Fill in the blank: The frequency of the fundamental mode of a string fixed at both ends is given by f = ________.
Fill in the blank: The frequency of the nth harmonic of a string fixed at both ends is ________ times the fundamental frequency.
True or False: In a pipe closed at one end, the harmonics present are only odd multiples of the fundamental frequency.
True or False: In a standing wave, all points between two adjacent nodes vibrate in phase.
True or False: In a standing wave, the phase of vibration is the same for all points between two adjacent nodes.
True or False: The amplitude at an antinode in a standing wave is twice the amplitude of the original traveling waves.
