Question

Two open organ pipes of lengths $50\text{cm}$ and $50.6\text{cm}$ produces $4$ beats per second. The speed of sound in air is about (in $\text{m/s}$) –

• A. 337
• B. 337.33
• C. 337.3
• D. 337.333

Answer 1

Answer: (A), (B), (C), (D)

Given Beat frequency is $4\text{Hz}$
$f_1-f_2=4\text{Hz}$
$\frac{v}{2}[\frac{1}{l_1}-\frac{1}{l_2}]=4\Rightarrow v=\frac{8\times 50\times 50.6}{0.6}$
$v=33733.33\text{cm/s}=337.33\text{m/s}$