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Waves and Particle Nature of Light

Refraction, wave speed and the critical angle

  • 1 thing to know
  • Papers 2 and 3

Overview

Recall questions on the refraction relationship, which way a ray bends and why, the speed and wavelength in the medium, and the definition of the critical angle.

What you need to know

Answer each one before you reveal it.

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Key term

Does the frequency of light change when it is refracted?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Which way does a ray bend when it enters a more optically dense medium, and why?

    Model answer

    It bends towards the normal, because the light slows down in the denser medium.

  2. 2

    In terms of wave behaviour, why does a ray change direction on entering a new medium?

    Model answer

    The frequency is fixed but the speed changes, so the wavelength changes; when one side of a wavefront enters first it is slowed before the other, swinging the wavefront and hence the ray round.

  3. 3

    A ray in air meets a glass block of refractive index 1.50 at 30° to the normal. What is the angle of refraction?

    Model answer

    sin θ₂ = sin 30°/1.50 = 0.333, so the angle of refraction is 19.5°.

  4. 4

    What is the speed of light in a glass of refractive index 1.50?

    Model answer

    The speed is v = c/n = 3.00 × 10⁸ / 1.50 = 2.00 × 10⁸ m s⁻¹.

  5. 5

    Light of wavelength 600 nm in air enters glass of refractive index 1.50. What is its wavelength inside the glass?

    Model answer

    The frequency is unchanged and the speed falls by a factor of 1.50, so the wavelength becomes 600/1.50 = 400 nm.

  6. 6

    Does the frequency of light change when it is refracted?

    Model answer

    No, the frequency is set by the source and stays the same; only the speed and the wavelength change.

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