$A$ tuning fork of frequency $n$ is held near the open end of a tube which is closed at the other end,and the length is adjusted until resonance occurs. The first resonance occurs at length $L_1$ and the immediate next resonance occurs at length $L_2$. The speed of sound in air is

  • A
    $n(L_2 - L_1)$
  • B
    $\frac{n(L_2 - L_1)}{2}$
  • C
    $2n(L_2 - L_1)$
  • D
    $\frac{n(L_2 + L_1)}{2}$

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Two open organ pipes of lengths $50 \,cm$ and $51 \,cm$ are totally immersed in a medium. They are found to give $40$ beats in $10 \,s$ when each is sounding at its fundamental note. The speed of sound in this medium is (in $\,ms^{-1}$)

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