A standing wave in a pipe with a length $L=1.2 \,m$ is described by $y(x, t)=y_0 \sin [(2 \pi / L) x] \sin [(2 \pi / L) x+\pi / 4]$ based on above information, which one of the following statement is incorrect? (Speed of sound in air is $300 \,ms ^{-1}$ )
  • A
    The pipe is closed at both ends
  • BThe wavelength of the wave could be $1.2 ]\,m$
  • CThere could be a node at $x=0$ and antinode at $x=L / 2$
  • DThe frequency of the fundamental mode of vibrations is $137.5 \,Hz$
KVPY 2012, Medium
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