AB is a cylinder of length $$1$$ m fitted with a thin flexible diaphragm C at the middle and two other thin flexible diaphragm at ends A and B which do not allow outside air to mix with $$H2$$ and $$O2$$ gas as shown. Find the minimum frequency of a tuning fork which can establish sustained stationary waves in cylinder with diaphragm C as a node. Given that velocity of sound in $$H2$$ is $$1100$$ $$m/s$$ and in $$O2$$, is $$300$$ $$m/s$$.

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Infinity Learn · Accepted Answer

For sustained stationary wave in both gas, independently stationary wave must setup in  $$H2$$ & in $$O2Resonating$$ frequency of stationary wave formation in $$H2$$ is $$nH2=(2n+1)vH24lResonating$$ frequency of stationary wave formation in $$O2$$ is $$nO2=(2m+1)vO24lfor$$ stationary wave to be produced in both gases we use $$nH2=nO2(2n+1)vn24l=(2m+1)v$$α$$24l$$⇒$$2m+12n+1=1100300=113for$$ min  frequency $$2m+1=11$$ $$2n+1=3$$⇒$$nmin=3vh24l=3$$×$$11004$$×$$0.5=1650Hz$$

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