This diagram shows a stationary wave on a string. (b) Mark on your diagram the wavelength of the progressive wave and label it λ .

Nodes and anti nodes are known to form stationary waves. In a given stationary wave, the distance between any given two successive nodes is half the wavelength. The approximate distance between a node and the immediate next anti node is actually one-fourth of a given wavelength. Node N :- Positions on a standing wave where the wave stays in a fixed position over time because of destructive interference. Anti node A :- Positions on a standing wave where the wave vibrates with maximum amplitude. The length of the standing wave depends on the length of the string. The endpoints will always be nodes, and the first harmonic’s wavelength is double the length of the string, no matter how long the string is

This diagram shows a stationary wave on a string. (c) The frequency of the vibrator is doubled. Describe the changes in the stationary wave pattern.

If the frequency of the vibrator is doubled. There would be double the number of loops that is 6 loops Node N :- Positions on a standing wave where the wave stays in a fixed position over time because of destructive interference. Anti node A :- Positions on a standing wave where the wave vibrates with maximum amplitude. The length of the standing wave depends on the length of the string. The endpoints will always be nodes, and the first harmonic’s wavelength is double the length of the string, no matter how long the string is

(b) This diagram shows an experiment to measure the speed of a sound in a string. The frequency of the vibrator is adjusted until the stationary wave shown is formed. (ii) The frequency of the vibrator is 120Hz. Calculate the speed at which a progressive wave would travel along the string.

According to the figure there are three waves completed in 75 cm Length of string therefore wavelength λ = 75 3 = 25 cm = 0 . 25 m Given, frequency f = 120 Hz The speed at which a progressive wave would travel along the string. c = λf c = 120 × 0 . 25 = 30 m s – 1 ∴ The speed at which a progressive wave would travel along the string = 30 m s – 1

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This diagram shows a stationary wave on a string.

(a) On a copy of the diagram, label one node (N) and one antinode (A).

Important Questions on Stationary Waves

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 3

This diagram shows a stationary wave on a string.

Question Image

(b) Mark on your diagram the wavelength of the progressive wave and label it $λ$ .

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 3

This diagram shows a stationary wave on a string.

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IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 4

A tuning fork that produces a note of 256Hz is placed above a tube that is nearly filled with water. The water level is lowered until resonance is first heard.

(a) Explain what is meant by the term resonance.

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Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 4

A tuning fork that produces a note of 256Hz is placed above a tube that is nearly filled with water. The water level is lowered until resonance is first heard.

(b) The length of the column of air above the water when resonance is first heard is 31.2cm.

Calculate the speed of the sound wave.

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Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 5

(a) State two similarities and two differences between progressive waves and stationary waves.

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Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 5

(b) This diagram shows an experiment to measure the speed of a sound in a string. The frequency of the vibrator is adjusted until the stationary wave shown is formed.

Question Image

(i) On a copy of the diagram, mark a node (label it N) and an antinode (label it A).

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 5

(b) This diagram shows an experiment to measure the speed of a sound in a string. The frequency of the vibrator is adjusted until the stationary wave shown is formed.

Question Image

(ii) The frequency of the vibrator is 120Hz. Calculate the speed at which a progressive wave would travel along the string.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 14 - Stationary Waves>EXAM-STYLE QUESTIONS>Q 5

(c) The experiment is now repeated with the load on the string halved. In order to get a similar stationary wave the frequency has to be decreased to

30 Hz

. Explain, in terms of the speed of the wave in the string, why the frequency must be adjusted.

This diagram shows a stationary wave on a string. (a) On a copy of the diagram, label one node (N) and one antinode (A).

Important Questions on Stationary Waves

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This diagram shows a stationary wave on a string.

(a) On a copy of the diagram, label one node (N) and one antinode (A).