Show that if the room temperature changes by a small amount from T to T+ ∆T, the fundamental frequency of an organ pipe changes from v to v+∆v where ∆v/v=1/2 ∆T/T

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Solution

frequency=root of(1.4x287xT) there for the relation between frequency and temperature is Frequency is directly propotional to (temperature)^1/2 therefore ∆v/v=1/2 ∆T/T

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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 $\frac{Δ v}{v} = \frac{1}{2} \frac{Δ T}{T} .$

Q. Show that if the room temperature changes by a small amount from T to T + ∆T, the fundamental frequency of an organ pipe changes from v to v + ∆v, where

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