In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz . When tension in B is slightly decreased, the beat frequency increases to 7 Hz . If the frequency of A is 530 Hz , the original frequency of B will be:

Question

Aicharya · Accepted Answer

Guitar string i.e. string is fixed from both ends

Frequency $\propto \sqrt{Tension}$
If tension in $B$ slightly decrease then frequency of $B$ decrease.

If $B$ is $536 Hz,$ the beats produced will be $536 - 530$ as the frequency decreases, beats with $A$ also decreases.

If $B$ is $524 Hz,$ the beats produced will be $530 - 524$ as the frequency decreases, beats with $A$ increases.
$∴$ Original frequency of $B$ will be $524 Hz$ .

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In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of…

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