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Question: A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1...

A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source ? (Take speed of sound in air = 330 ms–1)

A

First

B

Second

C

Third

D

Fourth

Answer

First

Explanation

Solution

Fundamental frequency of open pipe

n1=v2l=3302×0.3=550Hzn_{1} = \frac{v}{2l} = \frac{330}{2 \times 0.3} = 550Hz

First harmonic = 2×n1=1100Hz2 \times n_{1} = 1100Hz. = 1.1kHz1.1kHz