1. Tardigrade
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  3. Physics
  4. Two forks A and B when sounded together produce four beats s -1. The fork A is in unison with 30 cm length of a sonometer wire and B is in unison with 25 cm length of the same wire at the same tension. The frequencies of the forks are

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Q. Two forks $A$ and $B$ when sounded together produce four beats $s ^{-1}$. The fork $A$ is in unison with $30\, cm$ length of a sonometer wire and $B$ is in unison with $25\, cm$ length of the same wire at the same tension. The frequencies of the forks are

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Solution:

$\frac{n_{1}}{n_{2}}=\frac{l_{2}}{l_{1}}=\frac{25}{30}$
$=\frac{5}{6}$
and $n_{2}-n_{1}=4$
On solving, we get $n_{2}=24\, Hz$
$n_{1}=20\, Hz$