WBJEE · Physics · Waves and Sound
For air at room temperature, the atmospheric pressure is \(1.0 \times 10^{5} \mathrm{Nm}^{-2}\) and density of ait is \(1.2 \mathrm{kgm}^{-3}\). For a tube of length \(1.0 \mathrm{m}\), closed at one end, the lowest frequency \(\begin{array}{lllllll}\text { generated is } & 84 & \text { Hz. } & \text { The } & \text { value } & \text { of } \boldsymbol{\gamma}\end{array}\) (ratio of two specific heats) for air is
- A 2.1
- B 1.5
- C 1.8
- D 1.4
Answer & Solution
Correct Answer
(D) 1.4
Step-by-step Solution
Detailed explanation
The tube is closed at one end. So, it will act like a closed organ pipe. The lowest frequency produced in the tube \[ \begin{array}{l} l=\frac{\lambda}{4}, \lambda=4 \\ l=1 \mathrm{m} \\ f=84 \mathrm{Hz} \\ V=n \lambda=84 \times 4 \end{array} \] When wave propagate in air, the…
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