please help me guys it's very urgent
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please help me guys it's very urgent
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11th/Physics
Waves
Question :
An organ pipe P₁ closed at one end vibrating in its first overtone and another pipe P₂ open at both ends vibrating in its third overtone are in resonance with a tuning fork. Then the ratio of the length of P₁ and P₂ is
Answer :
★ In an organ pipe closed at one end, only odd harmonics are present
Frequency of first overtone (third harmonic) is given by
f denotes fundamental frequency
L denotes length of pipe P₁
★ In an organ pipe open at both ends. Both odd and even harmonics are present.
Frequency of third overtone (third harmonic) is given by
f denotes fundamental frequency
L' denotes length of pipe P₂
➤ For condition of resonance :
⭆ f₁ = f₃
⭆ 3f/4L = 2f/L'
⭆ L/L' = 3/8
∴ (B) is the correct answer.
Cheers!