## Question

A cylindrical tube, open at both ends, has fundamental frequency *n*. If one of the ends is closed, the fundamental frequency will become

### Solution

*n*/2

The value of λ for a pipe open at both ends is 2*L* where *L* is the length of the pipe. For a closed pipe λ = 4 *L*. Since λ becomes twice, the frequency reduces to half.

#### SIMILAR QUESTIONS

Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of *A* is twice that of *B* and the tension in *A* is half that in *B*. The ratio of the velocities of waves in A and B is

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A stone hangs from the free end of a sonometer wire whose vibrating length, when tuned to a tuning fork, is 40 cm. When the stone hangs wholly immersed in water, the resonant length is reduced to 30 cm. The relative density of the stone is

Two loudspeakers *A* and *B*, 1.0 *m* apart, produce sound waves of the same wavelength and in the same phase. A sensitive sound detector, moving along *PQ*, parallel to line *AB*, 2.4 *m* away, detects maximum sound at *P* (on the perpendicular bisector of *AB*) another maximum sound when it first reaches *Q* directly opposite to *B*, as shown in fig. What is the wavelength of sound emitted by the speakers?