A metre-long tube open at one end, with a movable piston at the other end, shows resonance with a fixed frequency source (a tuning fork of frequency 340 Hz) when the tube length is 25.5 cm or 79.3 cm. Estimate the speed of sound in air at the temperature of the experiment. The edge effects may be neglected.
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it is given that ,
Frequency of the turning fork, f = 340 Hz
Length of pipe, l = 25.5 cm = 0.255 m
given pipe is attached with a piston at one end, one of its end is closed. So, it will behave as a closed organ pipe.
here if the pipe is in resonance with the fundamental mode and 3rd harmonic.
The fundamental mode in a closed pipe is given by l = λ/4
∴ λ = 4l
⇒ λ = 4 × 0.255 m
⇒ λ = 1.02 m
The speed of the sound is given by
v = fλ
⇒ v = 340 Hz × 1.02 m
⇒ v = 346.8 m/s
Frequency of the turning fork, f = 340 Hz
Length of pipe, l = 25.5 cm = 0.255 m
given pipe is attached with a piston at one end, one of its end is closed. So, it will behave as a closed organ pipe.
here if the pipe is in resonance with the fundamental mode and 3rd harmonic.
The fundamental mode in a closed pipe is given by l = λ/4
∴ λ = 4l
⇒ λ = 4 × 0.255 m
⇒ λ = 1.02 m
The speed of the sound is given by
v = fλ
⇒ v = 340 Hz × 1.02 m
⇒ v = 346.8 m/s
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