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A standing wave in a pipe with a length ...

A standing wave in a pipe with a length `L = 1.2 m` is described by
`y(x,t) = y_(0)sin[(2pi//L)x]sin[(2pi//L)x+pi//4]`
Based on above information, which one of the following statements is incorrect. (Speed of sound in air is `300 ms^(-1)`)–

A

A pipe is closed at both ends

B

The wavelength of the wave could be 1.2m

C

There could be a nodes at x = 0 and antinode at x = L / 2

D

The frequency of the fundamental mode of vibration is 137.5 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
From equation `(2pi)/(lambda)=(4pi)/(L)implieslambda=0.6m`.
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