If the length of a closed organ pipe is $1 \ m$ and the velocity of sound is $330 \ m/s$,then the frequency for the second note (first overtone) is:

  • A
    $4 \times \frac{330}{4} \ Hz$
  • B
    $3 \times \frac{330}{4} \ Hz$
  • C
    $2 \times \frac{330}{4} \ Hz$
  • D
    $2 \times \frac{4}{330} \ Hz$

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An organ pipe $P_1$ closed at one end vibrating in its first overtone and another pipe $P_2$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of $P_1$ and $P_2$ is

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