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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Solution

Q.
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. [2024]

Ans.
(294) $f_{c} = \frac{v}{4 l_{1}}$    $f_{o} = \frac{v}{2 l_{2}}$

   $\frac{v}{4 \times 150} - \frac{v}{2 \times 350} = 7$

   $\frac{v}{600 c m} - \frac{v}{700 c m} = 7$

   $\frac{v}{6 m} - \frac{v}{7 m} = 7$

$v (\frac{1}{42}) = 7$

   $v = 42 \times 7 = 294 m / s$

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