Edexcel A-Level Physics 9PH0
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Waves and Particle Nature of Light
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Waves and Particle Nature of Light
Single-slit patterns and the diffraction grating equation
- 1 thing to know
- Papers 2 and 3
Overview
Recall questions on Huygens' construction, the single-slit pattern and how it changes with wavelength, and the grating equation with its slit spacing.
What you need to know
Answer each one before you reveal it.
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is seen on a screen when monochromatic light passes through a single narrow slit?
Model answer
There is a wide, bright central maximum with much dimmer maxima on either side, separated by dark fringes, and the central maximum is about twice as wide as the others.
- 2
How does the single-slit pattern change if red light is replaced by blue light of the same intensity?
Model answer
Blue light has a shorter wavelength so it diffracts less, and the whole pattern becomes narrower with the fringes closer together.
- 3
Why can you hear someone talking round the corner of a doorway but not see them?
Model answer
Sound wavelengths of about a metre are comparable to the width of the doorway so the sound diffracts strongly, whereas light wavelengths of around 10⁻⁷ m are far smaller than the gap so light diffracts negligibly.
- 4
What is a diffraction grating?
Model answer
It is a plate ruled with a very large number of equally spaced parallel slits or lines that diffract light and produce interference maxima.
- 5
State the diffraction grating equation and say what each symbol represents:
Model answer
The equation is nλ = d sinθ, where n is the order of the maximum, λ is the wavelength, d is the spacing between adjacent slits and θ is the angle of the maximum from the straight-through direction.
- 6
A grating is ruled with 300 lines per mm. What is the slit spacing d?
Model answer
The spacing is d = 1 ÷ (3.00 × 10⁵ lines per metre) = 3.33 × 10⁻⁶ m.
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