Key formulae — Waves and optics

Summary of waves and optics formulae (ch. 16). Derivations and limits of validity are in the chapter.

Harmonic wave $y = A\cos(kx - \omega t) \qquad v = \lambda f$

Doppler effect (acoustics) $f_R = f_S\,\frac{v_0 \pm v_R}{v_0 \mp v_S}$

Snell’s law (refraction) $n_1\sin\theta_1 = n_2\sin\theta_2$

Thin lenses and mirrors $\frac{1}{p} + \frac{1}{q} = \frac{1}{f}$

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Topics: Waves · Optics

Related exercises: Exercises — Waves · Worked exercise — The cyclist and the acoustic mirror · Problem — Ultrasound wavelength in ultrasonography