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Two open organ pipes of lengths 50 cm & 50.5cm produce 3beats/second. Calculate the velocity of sound in âir.?
Most Upvoted Answer
Two open organ pipes of lengths 50 cm & 50.5cm produce 3beats/second. ...
You answer 👉Here, l1=50 cm, l2= 50.5cmSuppose the velocity of sound =Vn1= v ÷ 2l1 = V ÷100n2 = V÷2l2 = V÷2×50.5 = V÷101Beats/second =3 n1-n2 =3.•. V÷100-V÷101 =3Or V÷10100=3Or V = 30,300cm/Sec. 👈Hope u understand.!!!!😉😉😉😉
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Two open organ pipes of lengths 50 cm & 50.5cm produce 3beats/second. ...
Calculating the Velocity of Sound in Air
- Given Data:
- Length of first open organ pipe (L1) = 50 cm
- Length of second open organ pipe (L2) = 50.5 cm
- Beats produced per second = 3
- Calculating the Frequency of the Beating Sound:
- The frequency of the beating sound is equal to the difference in frequencies of the two pipes.
- Let v be the velocity of sound in air, f1 be the frequency of the first pipe, and f2 be the frequency of the second pipe.
- f1 = v / (2 * L1)
- f2 = v / (2 * L2)
- The difference in frequencies is given by: |f1 - f2| = 3 Hz
- Substitute the Values into the Equations:
- |(v / (2 * L1)) - (v / (2 * L2))| = 3
- |(v / (2 * 0.5)) - (v / (2 * 50.5))| = 3
- |(v / 1) - (v / 101)| = 3
- |(101v - v) / 101| = 3
- |100v / 101| = 3
- 100v = 303
- v = 303 / 100
- v = 3.03 m/s
- Conclusion:
- The velocity of sound in air is calculated to be 3.03 m/s.
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Two open organ pipes of lengths 50 cm & 50.5cm produce 3beats/second. Calculate the velocity of sound in âir.?
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