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`.

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 +/_T`, the fundamental frequency of an organ pipe changes from `v to v + /_v, where `(/_v)/v=1/2(/_T)/T`.
Answer» Correct Answer - A We know that `fpropsqrtT` According to the questioin `f+/_fprop sqrt(/_T+T)` `rarr (f+/_f)/f=sqrt(/_T+T)/T)` `rarr 1+(/_f)/f=(1+(/_T)/T)^(1/2)` `=1+1/2 (/_T)/T` `……. (neglecting other terms) ` `rarr (/_f)/f=(1/2)(/_T)/T`

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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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