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Waves and Quantum Behaviour

The diffraction grating

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on what a diffraction grating is and why its maxima are sharp, nλ = d sin θ and the order of a maximum, slit spacing from lines per millimetre, angles and the highest observable order, zero-order and white-light spectra, resolving close wavelengths, finding the slit spacing with sodium light, parallel beams, and overlapping orders.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Key term

State the grating equation and define each term in it.

Key term

What is a diffraction grating?

Key term

Explain why a grating produces sharp bright maxima rather than broad fringes.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is a diffraction grating?

    Model answer

    A diffraction grating is a plate ruled with very many equally spaced parallel lines or slits, which diffract the light passing through it.

  2. 2

    Explain why a grating produces sharp bright maxima rather than broad fringes.

    Model answer

    Light from thousands of slits reinforces only where every path difference is a whole number of wavelengths, and a small change of angle puts the many contributions out of step so that they cancel completely.

  3. 3

    State the grating equation and define each term in it.

    Model answer

    The equation is nλ = d sin θ, where n is the order, λ the wavelength, d the spacing between adjacent slits and θ the angle of the maximum from the straight-through direction.

  4. 4

    What is meant by the order of a grating maximum?

    Model answer

    The order n is the number of whole wavelengths of path difference between light from adjacent slits.

  5. 5

    A grating has 500 lines per millimetre. What is the spacing between adjacent slits?

    Model answer

    The spacing is d = 1.00 × 10⁻³/500 = 2.00 × 10⁻⁶ m.

  6. 6

    Light of wavelength 600 nm meets a grating of slit spacing 2.00 × 10⁻⁶ m. Calculate the angle of the first-order maximum.

    Model answer

    sin θ = λ/d = 6.00 × 10⁻⁷ / 2.00 × 10⁻⁶ = 0.300, so the angle is 17.5°.

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