Diffraction and polarization

Physics · Physical optics. The idea in plain words, the rules to remember, the mistake to avoid and a worked example, written and checked by Mega Lecture.

Test this topic freeAll Physics topics

The idea

Diffraction is the bending of light round the edges of an obstacle or slit into the region of shadow. It is most noticeable when the slit width is of the same order as the wavelength. A single slit gives a wide central bright band with weaker bands on each side.

A diffraction grating has thousands of equally spaced lines. It gives sharp maxima at angles that depend on wavelength, so it is used to measure wavelength. The planes of atoms in a crystal act as a grating for X-rays, whose wavelength is about the same as the spacing of the planes.

Polarization limits the vibrations of light to one plane. Only transverse waves can be polarized, so this proves light is transverse. Sound, being longitudinal, cannot be polarized.

Rules to remember

Common mistake

Using the number of lines as d. First find d = 1/N and change it to metres (lines per cm gives d in cm, then × 10−2). Also remember the 2 in Bragg's equation, which the grating equation does not have.

Worked example

Light of wavelength 500 nm falls normally on a grating with 2500 lines per cm. At what angle is the second-order maximum?

  1. d = 1 ÷ 2500 cm = 4.0 × 10−4 cm = 4.0 × 10−6 m.
  2. sin θ = nλ/d = (2 × 5.0 × 10−7) ÷ (4.0 × 10−6) = 0.25.
  3. θ = sin−1(0.25) = 14.5°.

Answer: θ = 14.5°.

Ask about this

Type what you are stuck on. The helper finds the explanation, worked examples and the notes to read, free and instant.

Read the full notes

Keep going

← Wavefronts and interference of lightMagnifying glass, microscopes and telescopes →Take a Physics test