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Waves and Particle Nature of Light

The wave equation and its use

  • 1 thing to know
  • Papers 2 and 3

Overview

Recall questions on v = fλ and where it comes from, and on what happens to speed, frequency and wavelength when a wave crosses into a new medium.

What you need to know

Answer each one before you reveal it.

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Key term

Two sound waves have the same frequency but different amplitudes. What physical difference does this make?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    A sound wave has a frequency of 250 Hz and a wavelength of 1.36 m. What is its speed?

    Model answer

    The speed is v = fλ = 250 × 1.36 = 340 m s⁻¹.

  2. 2

    What is the wavelength in air of a 2.0 kHz note, taking the speed of sound as 340 m s⁻¹?

    Model answer

    The wavelength is λ = v/f = 340/2000 = 0.17 m.

  3. 3

    Light in a vacuum has a wavelength of 5.0 × 10⁻⁷ m. What is its frequency?

    Model answer

    The frequency is f = c/λ = 3.00 × 10⁸ / (5.0 × 10⁻⁷) = 6.0 × 10¹⁴ Hz.

  4. 4

    A pendulum-driven wave source completes 30 oscillations in 12 s. What are its frequency and period?

    Model answer

    The frequency is 30/12 = 2.5 Hz and the period is 1/2.5 = 0.40 s.

  5. 5

    What is the period of a 50 Hz mains supply?

    Model answer

    The period is T = 1/f = 1/50 = 0.020 s.

  6. 6

    When a wave crosses into a medium in which it travels more slowly, what happens to its frequency and its wavelength?

    Model answer

    The frequency is unchanged because it is fixed by the source, so the wavelength must decrease in the same proportion as the speed.

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