First slide

Beats

Question

Two identical wires have the same fundamental frequency of 400 Hz. when kept under the same tension. If the tension in one wire is increased by 2% the number of beats produced will be

Moderate

A

4
B

2
C

8
D

1

Solution

$n \propto \sqrt{T} \Rightarrow \frac{Δn}{n} = \frac{1}{2} \frac{ΔT}{T}$
Beat frequency $= Δn = (\frac{1}{2} \frac{ΔT}{T}) n = \frac{1}{2} \times \frac{2}{100} \times 400 = 4$ Hz

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