Consider the situation shown in figure (16-E9). The wire which has a mass of 4.00 g oscillates in its second harmonic and sets the air column in the tube into vibrations in its fundamental mode. Assuming
that the speed of sound in air is 340 m s, find the tension in the wire
Given:
Speed of sound in air
Length of the wire
Mass of the wire
Mass per unit length of wire is given by:
T = tension of the string
Fundamental frequency:
For second harmonic,
:
------------ (i)
On substituting the respective values in equation (i), we get:
Hence, the tension in the wire is 11.6 N.