First slide

Stationary waves

Question

Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is 1 : 4 : 9 : 16 then the ratio of their fundamental frequencies are

Moderate

A

16 : 9 : 4 : 1
B

4 : 3 : 2 : 1
C

1 : 4 : 2 : 16
D

1 : 2 : 3 : 4

Solution

$\begin{array}{l} n \propto \sqrt{T} \\ \Rightarrow n_{1} : n_{2} : n_{3} : n_{4} = \sqrt{1} : \sqrt{4} : \sqrt{9} : \sqrt{16} = 1 : 2 : 3 : 4 \end{array}$

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