Wave Properties (Wavelength, Frequency, Amplitude, Superposition)

Frequency, wavelength, amplitude, and superposition form the foundation every other wave topic builds on.

  • Confuses amplitude with frequency, linking loudness to pitch
  • Treats period and frequency as equivalent rather than reciprocal quantities

Sound Waves and Speed of Sound

Longitudinal pressure waves in media — pipe harmonics and string resonance are the calculation targets.

  • Applies only density reasoning to sound speed, ignoring the dominant role of elasticity
  • Assumes closed pipes support all harmonics rather than only odd ones

Doppler Effect

Relative motion between source and observer shifts perceived frequency; sign convention errors are the primary trap.

  • Inverts the sign convention for observer motion in the Doppler formula
  • Assumes source and observer motion at equal speeds produce identical Doppler shifts

Sound Intensity and Decibels

Logarithmic decibel scale and inverse-square intensity falloff define how loudness changes with distance.

  • Applies inverse rather than inverse-square falloff when distance doubles
  • Confuses +10 dB with a doubling of intensity instead of a tenfold increase

Electromagnetic Spectrum

Energy, frequency, and wavelength ordering across EM regions, plus photon energy and biological effects of each band.

  • Believes EM wave speed in vacuum varies with frequency
  • Reverses the energy ordering of the electromagnetic spectrum

Reflection, Refraction, and Snell's Law

Snell's law governs bending at interfaces; angle direction and normal measurement are where students lose points.

  • Reverses the direction of bending at an interface between media of different densities
  • Measures reflection/refraction angles from the surface rather than the normal

Total Internal Reflection

Only light moving from higher to lower refractive index beyond a critical angle undergoes TIR — fiber optics depend on it.

  • Believes TIR can occur regardless of the direction of travel between media
  • Inverts the refractive index ratio in the critical angle formula

Mirrors (Plane, Concave, Convex) and Image Formation

Ray diagrams and 1/f = 1/do + 1/di predict real vs virtual, inverted vs upright images for each mirror type.

  • Believes convex mirrors can produce real images under certain conditions
  • Misapplies mirror sign convention, associating positive di with virtual images
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Lenses and the Thin Lens Equation

Thin lens equation, diopters, and myopia/hyperopia correction hinge on correctly distinguishing converging from diverging behavior.

  • Reverses the converging/diverging behavior of concave and convex lenses
  • Prescribes a converging lens for myopia instead of a diverging lens

Diffraction and Interference

Path difference determines constructive or destructive fringe patterns; wider slits produce less diffraction, not more.

  • Confuses the path difference conditions for constructive and destructive interference
  • Believes narrowing a slit reduces diffraction and sharpens the pattern

Polarization of Light

Malus's law (cos²θ, not cosθ) and Brewster's angle connect transverse wave behavior to real optical phenomena.

  • Confuses polarization as a property of all waves rather than transverse waves only
  • Applies cosθ instead of cos²θ in Malus's law calculations

UV-Visible Spectroscopy and Beer's Law

Beer-Lambert law links absorbance to concentration; conjugation red-shifts λmax and proteins absorb at 280 nm.

  • Treats absorbance and transmittance as having a simple linear inverse relationship
  • Predicts a blue shift with increasing conjugation instead of a red shift

Infrared (IR) Spectroscopy

Bond vibration frequencies identify functional groups — O-H, C=O, and C≡C each have diagnostic wavenumber regions.

  • Assigns the broad ~3300 cm⁻¹ IR peak to C=O instead of O-H/N-H
  • Predicts heavier atoms produce higher IR frequency stretches, reversing the mass-frequency relationship

Proton NMR Spectroscopy

Chemical shift, n+1 splitting, and integration together reveal proton environments and molecular structure.

  • Applies n instead of n+1 when predicting the number of NMR splitting peaks
  • Reverses the effect of electron-withdrawing groups on NMR chemical shift direction

Mass Spectrometry (Conceptual)

Ionization and m/z separation yield molecular weight, fragmentation patterns, and halogen isotope signatures.

  • Treats the molecular ion peak as representing the neutral, uncharged molecule
  • Underestimates the M+2 peak intensity for bromine-containing compounds due to misunderstanding isotope abundance

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