Question

Two identical wires are in unison when tension in one of the wires is increased by $2$ % $12$ beats are produced per two seconds the original frequency of the wires.

Answer 1

Tunning fork are sounded together $5$ beats per second are produced or $5Hz$

Let frequency of for $k=\nu$

then, probably frequencies of tunning fork due to beats formation are $(\nu +5)Hz$ and $(v-5)Hz$.

We know,

Frequency is inversely proportional to length of wire

$(\nu +5)/(v-5)=100/95$

$95(v+5)=100(v-5)$

$19(v+5)=20(v-5)$

$19v+95=20v-100$

$95+100=20v-19v$

$195=v$

Hence, frequency of fork $=195Hz$