A-level Physics (Advancing Physics)/Standing Waves/Worked Solutions

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1. The air in a 3m organ pipe is resonating at the fundamental frequency. Organ pipes are effectively open at both ends. What is the wavelength of the sound?

3 = \frac{\lambda}{2}

so λ = 2 x 3 = 6m.

2. A string is vibrating at the second harmonic frequency. How many wavelengths long is the standing wave created?

(2 + 1) \times \frac{\lambda}{2} = \frac{3\lambda}{2}

3. Express, in terms of λ, the length of a pipe which is closed at one end, where λ is the length of one wave at the fundamental frequency.

¼λ (this is the distance between a node and an antinode)