Q. 51

A 30.0-cm-long wire having a mass of 10.0 g is fixed at the two ends and is vibrated in its fundamental mode. A 50.0-cm-long closed organ pipe, placed with its open end near the wire, is set up into resonance in its fundamental mode by the vibrating wire. Find the tension in the wire. Speed of Sound in air = 340 m s-1.

Answer :

Given:
Mass of long wire

Length of wire

Speed of sound in air


Mass per unit length is:



Let the tension in the string be T.


The fundamental frequency for the closed pipe is:



The fundamental frequency is given by:



On substituting the respective values in the above equation, we get:




Hence, the tension in the wire is 347 N.


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