In a closed organ pipe, the frequency of fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that the fundamental…

Question

In a closed organ pipe, the frequency of fundamental note is 30 Hz. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to 110 Hz. If the organ pipe has a cross-sectional area of 2 cm^2, the amount of water poured in the organ tube is ________g. (Take speed of sound in air is 330 m s^(-1) )

MARKS Content Team · Accepted Answer

Correct answer: 400. Fundamental frequency for closed organ pipe in the first part: V/4l_1=30⇒l_1=11/4 m Similarly, for second part: V/4l_2=110⇒l_2=3/4 m Therefore, change in length Δl=2 m Change in volume =AΔl=400 cm^3 M=400 g;∵ρ=1 g cm^(-3)

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