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A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe 350 cm long, both vibrating in their fundamental mode. The velocity of sound is ______ m s⁻¹.

Asked in JEE Main 27th Jan 2nd Shift 2024 · Beat frequency

Answer: 294

Step-by-step solution

Closed pipe: f_c=v/(4×1.50)=v/6. Open pipe: fₒ=v/(2×3.50)=v/7.

f_c-fₒ=v/6-v/7=v/(42)=7.

v=294 m s⁻¹.

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