First slide

Stationary waves

Question

An ideal organ pipe resonates at successive frequencies of 50 Hz, 150 Hz, 250 Hz, etc (speed of sound = 340 m/s) The pipe is

Moderate

A

open at both ends and of length 3.4 m
B

open at both ends and of length 6.8 m
C

closed at one end, open at the other, and of length 1.7 m
D

closed at one end, open at the other, and of length 3.4 m

Solution

The frequencies given are odd multiple of fundamental. Hence close organ pipe
$50 = \frac{1}{4 l} \times 340 \Rightarrow l = 1 .7 m$

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