Waves And Sound Question 2
Question 2 - 2024 (27 Jan Shift 2)
A closed organ pipe $150 cm$ long gives 7 beats per second with an open organ pipe of length $350 cm$, both vibrating in fundamental mode. The velocity of sound is $m / s$.
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Answer: (294)
Solution:
$f _c=\frac{v}{4 \ell _1} \quad f _o=\frac{v}{2 \ell _2}$
$\left|f _c-f _0\right|=7$
$\frac{v}{4 \times 150}-\frac{v}{2 \times 350}=7$
$\frac{v}{600 cm}-\frac{v}{700 cm}=7$
$\frac{v}{6 m}-\frac{v}{7 m}=7$
$v\left(\frac{1}{42}\right)=7$
$v=42 \times 7$
$=294 m / s$
