In a gultar, two strings $A$ and $B$ made of same materlal 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 orlginal frequency of $B$ will be $.........Hz$
NEET 2020, Medium
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Guitar string i.e. string is fixed from both ends
Frequency $\propto \sqrt{\text { Tension }}$
If tension in $B$ slightly decrease then frequency of $B$ decrease.
If $B$ is $536 Hz$, as the frequency decreases, beats with A also decreases.
If $B$ is $524 Hz$, as the frequency decreases, beats with $A$ increases.
$\therefore$ Original frequency of $B$ will be $524 Hz$.
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