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A closed organ pipe of length $l$ is sounded together with another closed organ pipe of length $l + x (x << l)$ both in fundamental mode. If $v$ = speed of sound, the beat frequency heard is
  • A$\frac{{vx}}{{2{l^2}}}$
  • B$\frac{{vx}}{{4{l^2}}}$
  • C$\frac{{v{x^2}}}{{4l}}$
  • D$\frac{{vx}}{{{l^2}}}$
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