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. Numerical answer type. Work it out, then open the answer.

Answer: 294. Closed pipe: fc = (v)/(4 × 1.5) = v/6; open pipe: fo = (v)/(2 × 3.5) = v/7. Beats: v/6 - v/7 = v/42 = 7 v = 294 m/s

A closed organ pipe 150 cm long gives 7 beats per second with an open… | JEE Main 2024 (27 Jan, Shift 2)

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Beats

A closed organ pipe $150\text{ cm}$ long gives 7 beats per second with an open organ pipe of length $350\text{ cm}$ , both vibrating in fundamental mode. The velocity of sound is __________ $\text{m/s}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 294

Closed pipe: $f_c = \frac{v}{4 \times 1.5} = \frac{v}{6}$ ; open pipe: $f_o = \frac{v}{2 \times 3.5} = \frac{v}{7}$ .
Beats: $\frac{v}{6} - \frac{v}{7} = \frac{v}{42} = 7$
$v = 294$ m/s

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