Two identical flutes produce fundamental notes of frequency $$300$$ Hz at $$270C$$. If the temperature of air in one flute is increased to $$310C$$, the number of the beats heard per second will be

Question

Infinity Learn · Accepted Answer

Velocity of sound increases if the temperature increases. So with $$v=n$$λ, if v increases n will increase  at  $$27oC$$,  $$v1=n$$λ, at  $$31oC$$ ,   $$v2=(n+x)$$λNow using v∝T           ∵$$v=$$γ$$RTMv2v1=T2T1=n+xn$$⇒$$300+x300=(273+31)(273+27)=304300=300+4300$$⇒$$1+x300=1+43001/2=1+12$$×$$4300$$  ⇒$$x=2$$                                                    [∵$$($$ $$1+x)n=1+nx$$]

Two identical flutes produce fundamental notes of frequency 300 Hz at 27⁰C. If the temperature of air in one flute is increased to 31⁰C, the number of the beats heard per second will be

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Two identical flutes produce fundamental notes of frequency 300 Hz at 270C. If the temperature of air in one flute is increased to 310C, the number of the beats heard per second will be

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Two identical flutes produce fundamental notes of frequency 300 Hz at 27⁰C. If the temperature of air in one flute is increased to 31⁰C, the number of the beats heard per second will be