Three similar wires of frequency $n_1, n_2$ and $n_3$ are joined to make one wire. Its frequency will be
AIPMT 2000, Medium
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(b) $n = \frac{1}{{2l}}\sqrt {\frac{T}{m}} $
==> ${n_1}{l_1} = {n_2}{l_2} = {n_3}{l_3} = k$
${l_1} + {l_2} + {l_3} = l$
==>$\frac{k}{{{n_1}}} + \frac{k}{{{n_2}}} + \frac{k}{{{n_3}}} = \frac{k}{n}$
==> $\frac{1}{n} = \frac{1}{{{n_1}}} + \frac{1}{{{n_2}}} + \frac{1}{{{n_3}}} + ........$
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