Two similar sonometer wires given fundamental frequencies of 500Hz . These have same tensions. By wh

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14.Waves and Sound

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Two similar sonometer wires given fundamental frequencies of $500Hz$. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce $5$ beats/sec .... $\%$

A

$1$

B

$2$

C

$3$

D

$4$

Solution

(b) To produce $5$ beats/sec.

Frequency of one wire should be increase up to $505 \,Hz$. i.e. increment of $1\%$ in basic frequency.

$n \propto \sqrt T $ or $T \propto {n^2}$

==> $\frac{{\Delta T}}{T} = 2\frac{{\Delta n}}{n}$

==> percentage change in Tension =$2\,(1\% ) = 2\% $

Standard 11

Physics

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