Part of OP-02 — Wave Optics

Mnemonics and Memory Aids

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Mnemonic 1 — Fringe width: "Beta = Lambda D over d" β=λD/d\beta = \lambda D/d To increase β\beta: "Larger λ\lambda, Larger DD, Less dd" (Three L's)

Mnemonic 2 — Bright vs Dark: "Bright is Whole, Dark is Half-Odd"

  • Bright: Δ=nλ\Delta = n\lambda (whole wavelengths)
  • Dark: Δ=(n12)λ\Delta = (n-\frac{1}{2})\lambda (half-odd wavelengths)

Mnemonic 3 — Brewster: "Brewster = Bend at 90" At Brewster's angle, reflected ⊥ refracted. Formula: tanθp=n\tan\theta_p = n.

Mnemonic 4 — Single slit minima: "asinθ=nλa\sin\theta = n\lambda" for MINIMA (opposite of YDSE where same form gives MAXIMA).

Mnemonic 5 — Three polaroids: "Half → Half → Half = One-eighth" I0/2I0/2cos245°I0/4cos245°I0/8I_0 \xrightarrow{/2} I_0/2 \xrightarrow{\cos^2 45°} I_0/4 \xrightarrow{\cos^2 45°} I_0/8

Mnemonic 6 — Medium effect: "Wavelength shrinks in water, so fringes shrink" n=4/3n = 4/3 (water) → β=3β/4\beta' = 3\beta/4

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