A source of unknown frequency gives 4, text{b | vedclass

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(D) Let $v$ be the frequency of the unknown source.Since it produces $4\, 	ext{beats/s}$ with a source of $250\, 	ext{Hz}$, the possible frequencies

Vedclass · Accepted Answer

$254$

Vedclass · Answer

(D) Let $v$ be the frequency of the unknown source.Since it produces $4\, 	ext{beats/s}$ with a source of $250\, 	ext{Hz}$, the possible frequencies are $v = 250 \pm 4$, which gives $v = 246\, 	ext{Hz}$ or $v = 254\, 	ext{Hz}$.The second harmonic of the unknown source is $2v$. If $v = 246\, 	ext{Hz}$, then $2v = 492\, 	ext{Hz}$. The beat frequency with $513\, 	ext{Hz}$ is $|513 - 492| = 21\, 	ext{beats/s}$, which does not match the given $5\, 	ext{beats/s}$.If $v = 254\, 	ext{Hz}$, then $2v = 508\, 	ext{Hz}$. The beat frequency with $513\, 	ext{Hz}$ is $|513 - 508| = 5\, 	ext{beats/s}$, which matches the given condition.Therefore, the unknown frequency is $254\, 	ext{Hz}$.

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