Resonance

Classical Mechanics Level 3

At 2 3 o C 23^ o C , a pipe open at both ends resonates at a frequency of 450 450 hertz.At what frequency(in H z Hz ) does the same pipe resonate on a hot day when the speed of sound is 4 % 4 \% % higher then it would be at 2 3 o C 23^o C ?

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The answer is 468.

Akshay Sharma by Akshay Sharma , 21, India

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1 solution

Akshay Sharma
Apr 13, 2016

v = f λ v=f \lambda

f f α \alpha v v

f v = k \frac{f}{v}=k , where k k is a constt.

f 1 f 2 \frac{f_1}{f_2} = v 1 v 2 \frac{v_1}{v_2}

450 f 2 \frac{450}{f_2} = v 1 1.04 v 1 \frac{v_1}{1.04 v_1}

f 2 = 1.04 × 450 f_2=1.04 \times 450

f 2 = 468 H z \boxed{f_2=468 Hz}

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