Diffraction Grating (Leaving Cert Physics): Flashcards

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Diffraction Grating
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Diffraction grating

Optical device splitting light into component wavelengths

Key structure of diffraction grating

Thousands of equally spaced parallel slits

Grating constant symbol and meaning

dd = distance between centres of adjacent slits

Formula for grating constant dd

d=1lines per mm×10−3d = \frac{1}{\text{lines per mm}} \times 10^{-3} m

Effect of smaller dd values

Greater diffraction angles

Monochromatic light

Single wavelength light

Central bright image order number

Zero order, n=0n = 0

Diffraction grating formula

nλ=dsin⁡θn\lambda = d \sin \theta

nn in nλ=dsin⁡θn\lambda = d \sin \theta

Order of diffraction (0, ±1, ±2, ±3...)

λ\lambda in nλ=dsin⁡θn\lambda = d \sin \theta

Wavelength of light (in metres)

θ\theta in nλ=dsin⁡θn\lambda = d \sin \theta

Angle of diffraction from straight-through position

Path difference for nnth bright image

nn wavelengths

Maximum order formula

nmax=dλn_{max} = \frac{d}{\lambda}

Why maximum order exists

sin⁡θ\sin \theta cannot exceed 1

Brightest spot in pattern

Central spot (n=0n = 0)

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