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CBSE Class 11-science Answered

<div>A meter long tube open at one end with a movable piston at the other end shows ressonance with &nbsp;a fixed frequency source ( a tuning fork of frequency 340Hz) when the tube length is 25.5cm or 79.3 cm. estimate the speed of sound in air at the temperature of the expperiment. the edge &nbsp;effect may be neglectd.</div>
Asked by pragyanshree mishra | 05 Mar, 2015, 09:44: AM
Expert Answer

Frequency of the turning fork, ν = 340 Hz.

As the given pipe is attached with a piston at one end, it will behave as a pipe with one end closed and the other end open.


Such a system produces odd harmonics.

The fundamental note in a closed pipe is given:

 begin mathsize 14px style straight l subscript 1 equals straight lambda over 4 end style

Length of the pipe, l1=25.5 cm = 0.255 m

begin mathsize 14px style therefore straight lambda equals 4 space straight l subscript 1 equals 4 cross times 0.255 equals 1.02 space straight m end style

The speed of sound is given by the relation:
begin mathsize 14px style straight nu equals straight nu space straight lambda equals 340 cross times 1.02 equals 346.8 space straight m divided by straight s end style
Answered by Faiza Lambe | 05 Mar, 2015, 10:54: AM
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