A cylindrical tube, open at both ends, has a fundamental frequency, f, in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now:

Engineering

Physics

Interference of Sound Wave

Reflection Refraction and Superposition of Wave

Question

A cylindrical tube, open at both ends, has a fundamental frequency, f, in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now:

$\frac{f}{2}$

$\frac{3 f}{4}$

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$f = \frac{v}{λ}; λ = 2 L$

$f' = \frac{v}{λ}; \frac{λ}{4} = \frac{L}{2} \Rightarrow λ = 2 L$

hence f ' = f