First slide

Stationary waves

Question

A pipe of length 20 cm is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1700 Hz source? The speed of sound= 340ms⁻¹

Moderate

A

first harmonic
B

second harmonic
C

third harmonic
D

fourth harmonic

Solution

$I n a n o p e n p i p e, t h e c o n d i t i o n o f r e s o n a n c e i s f = \frac{P v}{2 L} \underset{h e r e}{\to P = 1, 2, 3....} P = \frac{2 f L}{v} = \frac{2 \times 1700 \times 0.2}{340} = 2$

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