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Superposition, Interference and Diffraction

  • 10 subtopics
  • 30 things to know
  • Unit AS 2

What Superposition, Interference and Diffraction covers

Superposition, Interference and Diffraction is examined in Unit AS 2, Waves, Photons and Astronomy, and drawn on again in Unit AS 3, Practical Techniques and Data Analysis. It covers superposition of waves, standing waves, nodes and antinodes, standing waves on stretched strings, standing waves in a pipe closed at one end, measuring the speed of sound with a resonance tube, conditions for observable interference, path difference and phase difference, Young's double slit, diffraction at a single slit and the diffraction grating.

Where it is assessed

Unit AS 2

Waves, Photons and Astronomy, and again in Unit AS 3, Practical Techniques and Data Analysis.

Check the CCEA specification ↗

The 10 subtopics

Each one has its own page.

What you need to know

Answer each one before you reveal it.

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Key term

What is meant by the graphical addition of two waves?

Numbers

The nodes of a standing wave are 0.30 m apart and the vibration frequency is 250 Hz. Calculate the speed of the progressive waves.

Numbers

A string 1.0 m long fixed at both ends vibrates with three nodes and two antinodes. Calculate the wavelength.

Numbers

A string 0.80 m long carries waves at 240 m s⁻¹. Calculate its lowest vibration frequency.

Numbers

A pipe closed at one end is 0.25 m long and the speed of sound is 340 m s⁻¹. Calculate its lowest resonant frequency.

Numbers

A pipe closed at one end is 0.170 m long and the speed of sound is 340 m s⁻¹. Calculate its lowest resonant frequency.

Key term

Describe an experiment to measure the speed of sound in air using a resonance tube.

Numbers

A tuning fork of frequency 440 Hz gives resonance at air column lengths of 0.185 m and 0.560 m. Calculate the speed of sound.

Key term

Why is a tuning fork preferred to a whistle or the human voice as the source in a resonance tube experiment?

Key term

Why must two sources be coherent for an interference pattern to be observed?

Key term

Why should the two sources in an interference experiment have similar amplitudes?

Key term

Why is monochromatic light used in an interference experiment?

Key term

Describe Young's slits experiment for measuring the wavelength of monochromatic light.

Key term

Why must the two slits be very close together in Young's experiment?

Key term

How is the requirement for coherent sources met in Young's slits experiment with a lamp?

Key term

Why can sound be heard round the corner of an open doorway while light cannot be seen round it?

Key term

State the diffraction grating equation, defining every symbol with its unit.

Numbers

Light of wavelength 600 nm passes through a grating with 300 lines per millimetre. Calculate the angle of the first order beam.

Numbers

Light of wavelength 500 nm passes through a grating with 600 lines per millimetre. Calculate the angle of the second order beam.

Key term

State the condition on path difference for constructive interference.

Key term

Two waves of amplitude 3.0 cm meet in phase. State the amplitude of the resultant.

Key term

Express the wavelength of the simplest standing wave on a string of length L fixed at both ends.

Key term

State the condition on path difference for destructive interference.

Key term

What is diffraction?

Key term

Two waves of amplitude 3.0 cm meet exactly in antiphase. State the amplitude of the resultant.

Key term

State the conditions required for a standing wave to be produced.

Key term

Express the wavelength of the third possible mode of vibration of a string of length L fixed at both ends.

Key term

Why is there an antinode at the open end of a pipe?

Key term

State the conditions for constructive and destructive interference in terms of phase difference.

Key term

How does the width of the central bright band of a single slit pattern compare with that of the bands beside it?

Take Superposition, Interference and Diffraction further

The same content, four other ways.

Commonly confused

Pairs that lose marks when they are blurred together.

  • Coherent vs In phase

    Coherent: the relationship between the two oscillations stays the same as time passes, whatever its value. In phase: that relationship is specifically zero.

Questions from this topic

Each one with the model answer underneath.

  1. 1

    State the principle of superposition.

    Model answer

    When two or more waves meet at a point, the resultant displacement at that point is the vector sum of the displacements each wave would produce there on its own.

  2. 2

    What is meant by the graphical addition of two waves?

    Model answer

    The two wave shapes are drawn on the same axes and, at every position along the axis, the two displacements are added together taking their signs into account, and the resulting values are joined up to give the resultant wave.

  3. 3

    Two waves of amplitude 3.0 cm meet in phase. State the amplitude of the resultant.

    Model answer

    The resultant amplitude is 3.0 + 3.0 = 6.0 cm, because the displacements are in the same direction at every instant.

  4. 4

    Two waves of amplitude 3.0 cm meet exactly in antiphase. State the amplitude of the resultant.

    Model answer

    The resultant amplitude is zero, because the two displacements are always equal and opposite and cancel completely.

  5. 5

    A wave of amplitude 5.0 cm meets a wave of amplitude 3.0 cm in antiphase. State the amplitude of the resultant.

    Model answer

    The resultant amplitude is 5.0 − 3.0 = 2.0 cm, and the resultant is in phase with the larger of the two waves.

  6. 6

    Define constructive interference.

    Model answer

    Constructive interference occurs where waves meet in phase, so that their displacements add and the resultant amplitude is larger than that of either wave alone.

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Superposition, Interference and Diffraction revision questions

What does Superposition, Interference and Diffraction cover in CCEA A-Level Physics?
10 subtopics: superposition of waves, standing waves, nodes and antinodes, standing waves on stretched strings, standing waves in a pipe closed at one end, measuring the speed of sound with a resonance tube, conditions for observable interference, path difference and phase difference, young's double slit, diffraction at a single slit and the diffraction grating. Each one has its own page with questions and model answers.
How is Superposition, Interference and Diffraction organised?
By the CCEA 1210 specification, subtopic by subtopic, so it matches the order you are taught it in.

Every question in Superposition, Interference and Diffraction, on a schedule.

Attempt a question from memory, write the correct version, then attempt it again. Levo records the jump between your first attempt and your last, and brings each question back on the day you are due to forget it.

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