Two closed organ pipes, when sounded simultaneously gave 4 beats … - Vidyadip

MCQ

Two closed organ pipes, when sounded simultaneously gave 4 beats per sec. If longer pipe has a length of 1 m , then length of shorter pipe is $( v =300 m / s )$

A
80 cm
B
94.9 cm
C
90 cm
D
185.5 cm

✓

Answer

(b) 94.9 cm
Explanation: $\nu=\frac{v}{4 L}=\frac{300}{4 \times 1}=75 Hz$
For shorter pipe,
$
\begin{aligned}
& \nu+4=\frac{300}{4 L^{\prime}} \\
& \text { or } 75+4=\frac{300}{4 L} \\
& L^{\prime}=\frac{300}{4 \times 79} m=94.9 cm
\end{aligned}
$

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