A source of sound gives five beats per second | vedclass

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Question

(A) Let the frequency of the source be $f$. Since it produces $5$ beats per second with a source of $100 \, s^{-1}$,the frequency $f$ can be $100 \pm

Vedclass · Accepted Answer

$105$

Vedclass · Answer

(A) Let the frequency of the source be $f$. Since it produces $5$ beats per second with a source of $100 \, s^{-1}$,the frequency $f$ can be $100 \pm 5$,which is $105 \, s^{-1}$ or $95 \, s^{-1}$. The second harmonic of the source is $2f$. If $f = 105 \, s^{-1}$,the second harmonic is $210 \, s^{-1}$. If $f = 95 \, s^{-1}$,the second harmonic is $190 \, s^{-1}$. We are given that the second harmonic produces $5$ beats per second with a source of $205 \, s^{-1}$. Checking the cases: For $210 \, s^{-1}$: $|210 - 205| = 5 \, s^{-1}$ (This matches the condition). For $190 \, s^{-1}$: $|190 - 205| = 15 \, s^{-1}$ (This does not match). Therefore,the frequency of the source is $105 \, s^{-1}$.

$A$ source of sound gives five beats per second when sounded with another source of frequency $100 \, s^{-1}$. The second harmonic of the source together with a source of frequency $205 \, s^{-1}$ gives five beats per second. What is the frequency of the source in $s^{-1}$?

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