Show that if the room temperature changes by a small amount from T to T+ΔT, the fundamental frequency of an organ pipe changes from v to v+Δv, where Δvv=12ΔTT.

Show that if the room temperature changes by a small amount from T to

1.	Show that if the room temperature changes by a small amount from T to T+ΔT, the fundamental frequency of an organ pipe changes from v to v+Δv, where Δvv=12ΔTT.
Answer» Show that if the room temperature changes by a small amount from T to $T + Δ T$ , the fundamental frequency of an organ pipe changes from v to $v + Δ v$ , where $\frac{Δ v}{v} = \frac{1}{2} \frac{Δ T}{T} .$

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Show that if the room temperature changes by a small amount from T to T+ΔT, the fundamental frequency of an organ pipe changes from v to v+Δv, where Δvv=12ΔTT.

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