In fundamental mode, the time required for the sound wave to each upto the closed end of a pipe filled with…

In fundamental mode, the time required for the sound wave to each upto the closed end of a pipe filled with air is ' $t$ ' second. The frequency of vibration of air column is
  1. $\frac{2}{t}$
  2. $\frac{0.5}{t}$
  3. $\frac{1}{t}$
  4. $\frac{0.25}{t}$

Solution

$\begin{aligned} & \Rightarrow V=\frac{L}{y}=(4 L) g \\ & \Rightarrow f=\frac{0.25}{t} \end{aligned}$ Option (D) is correct

Asked in: MHT CET 2022 (08 Aug Shift 2)

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