Questions
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.
detailed solution
Correct option is D
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)vα24l⇒2m+12n+1=1100300=113for min frequency 2m+1=11 2n+1=3⇒nmin=3vh24l=3×11004×0.5=1650HzSimilar Questions
Two adjacent natural frequencies of an organ pipe are formed to be 550 Hz and 650 Hz. Calculate the length of this pipe (in m). (Velocity of sound in air 350 m/s).
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