Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveMedium2 minPYQ_2020

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Two open organ pipes of fundamental frequencies $n_{1}$ and $n_{2}$ are joined in series. The fundamental frequency of the new pipe is

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Solution:

$n = \frac{V}{2 ℓ _{1}} ∴ ℓ_{1} = \frac{V}{2 n _{1}}$ $n_{2} = \frac{V}{2 ℓ _{2}} ∴ ℓ_{2} = \frac{V}{2 n _{2}}$ $n = \frac{V}{2 ℓ} ∴ ℓ = \frac{V}{2 n}$ $ℓ = ℓ_{1} + ℓ_{2}$ $\frac{V}{2 n} = \frac{V}{2 n _{1}} + \frac{V}{2 n _{2}}$ $∴ \frac{1}{n} = \frac{1}{n _{1}} + \frac{1}{n _{2}}$ $∴ n = \frac{n _{1} n _{2}}{n _{1} + n _{2}}$

Stream:MHT_CETSubject:PhysicsTopic:Sound WaveSubtopic:Standing wave

⏱ 2mℹ️ Source: PYQ_2020

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