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Two sitar strings A and Bplaying the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz, The tension of the string B is slightly increased and the beat frequency is found to decrease to 3 Hz. What is the original frequency of B if the frequency of A is 427 Hz ?

Answer» <html><body><p></p>Solution :Suppose original frequencies of <a href="https://interviewquestions.tuteehub.com/tag/wires-1457870" style="font-weight:bold;" target="_blank" title="Click to know more about WIRES">WIRES</a> A and B are respectively `f _(A) and f _(B).` <br/> Here `f _(A) = 427 Hz and `initially `f _(B) = 422 Hz or f _(B) = 432 Hz` (Because initially there are 5 beats per <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> between A and B). <br/> Now, after increasing tension in B, its frequency increases and assumes such a value `f._(B)` which can produce 3 beats per second with A. Hence, we should <a href="https://interviewquestions.tuteehub.com/tag/take-662846" style="font-weight:bold;" target="_blank" title="Click to know more about TAKE">TAKE</a> `f _(B)= 422 Hz and f ._(B) = 424 Hz.` So that `f._(B) gt f_(B)` <br/> `f _(A) -f_(B) =427-422 =5` beats per second <br/> (before increasing tension in B) <br/> `f _(A) - f._(B) =427 -424=4` <br/>(After increasing tension in B)<br/> Note: Here we can not take `f _(B) = 432 Hz` because after increasing tension in B its frequency would be greater than 432 Hz and then it would peoduce more than 5 beats per second with A which would be wrong as per the <a href="https://interviewquestions.tuteehub.com/tag/statement-16478" style="font-weight:bold;" target="_blank" title="Click to know more about STATEMENT">STATEMENT</a>.</body></html>


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