Assertion : The pitch of wind instruments ris | vedclass

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(A) $1$. For wind instruments (like a flute or organ pipe),the frequency is given by $f = \frac{v}{2L}$ (or similar depending on the pipe). As the tem

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) $1$. For wind instruments (like a flute or organ pipe),the frequency is given by $f = \frac{v}{2L}$ (or similar depending on the pipe). As the temperature increases,the speed of sound $v$ in the air increases. Since $f \propto v$,the frequency (pitch) rises.$2$. For string instruments (like a guitar or violin),the frequency is given by $f = \frac{1}{2L} \sqrt{\frac{T}{\mu}}$. As the temperature increases,the string expands due to thermal expansion,increasing its length $L$. Additionally,the tension $T$ in the string decreases due to the expansion of the instrument's body. Both factors lead to a decrease in frequency (pitch).$3$. Thus,the Assertion is correct. The Reason correctly identifies that the speed of sound increases with temperature and explains the physical changes in string instruments that lead to a decrease in pitch. Therefore,the Reason is a correct explanation of the Assertion.

$Assertion :$ The pitch of wind instruments rises and that of string instruments falls as an orchestra warms up.
$Reason :$ When temperature rises,the speed of sound increases,but the speed of a wave in a string fixed at both ends decreases.

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$Assertion :$ The pitch of wind instruments rises and that of string instruments falls as an orchestra warms up.$Reason :$ When temperature rises,the speed of sound increases,but the speed of a wave in a string fixed at both ends decreases.