Illustrate using labelled diagrams only, a sonometer wire of length, l, vibrating at its(i) fundamental(ii) first overtone(iii) second overtone
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see the diagram.
We have standing waves on a Sonometer bridge wire, as the forward and reverse transverse (progressive mechanical) waves interfere with each other.
The velocity of the transverse wave on the Sonometer Bridge wire will be the same in all cases. Velocity v depends on the tension T in the wire and mass μ per unit length of the wire. The tension T in the wire is equal to the weight of a mass that is hanging from the wire on one side of the table.
Wavelength is dependent on the number of loops. The wave length decreases for overtones. Thus the frequency increased for them.
speed = v = √(T / μ)
and v = f * λ
L = n λ/2 or,
λ = 2 L / n n = 1, 2, 3, 4, ....
f = frequency = n v / 2 L
We have standing waves on a Sonometer bridge wire, as the forward and reverse transverse (progressive mechanical) waves interfere with each other.
The velocity of the transverse wave on the Sonometer Bridge wire will be the same in all cases. Velocity v depends on the tension T in the wire and mass μ per unit length of the wire. The tension T in the wire is equal to the weight of a mass that is hanging from the wire on one side of the table.
Wavelength is dependent on the number of loops. The wave length decreases for overtones. Thus the frequency increased for them.
speed = v = √(T / μ)
and v = f * λ
L = n λ/2 or,
λ = 2 L / n n = 1, 2, 3, 4, ....
f = frequency = n v / 2 L
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