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An organ pipe P1 closed at one end vibrating in its first harmonic and another pipe P2 open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is

  • a)
    3/8

  • b)
    1/6

  • c)
    1/2

  • d)
    1/3

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An organ pipe P1closed at one end vibrating in itsfirst harmonic and a...
In an organ pipe closed at one end there will be an antinode at the open end and a node at closed end. The distance between an antinode and nearest node is 4λ​. If i1​ be the length of pipe, and λ the wavelength then,



If n be the frequency of note emitted and v the velocity of sound in air, then



Also, closed pipe produces only odd harmonics, hence first overtone of closed pipe is



For open pipe antinodes are formed at both ends, frequency is given by



Also open pipe produces both even and odd harmonics,



hence we have freqency of third overtone of open pipe is



At resonance both the frequencies are equal

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An organ pipe P1closed at one end vibrating in itsfirst harmonic and another pipe P2open at bothendsvibrating in its third harmonic are in resonance with agiven tuning fork. The ratio of the length of P1to thatof P2isa)3/8b)1/6c)1/2d)1/3Correct answer is option 'A'. Can you explain this answer?
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An organ pipe P1closed at one end vibrating in itsfirst harmonic and another pipe P2open at bothendsvibrating in its third harmonic are in resonance with agiven tuning fork. The ratio of the length of P1to thatof P2isa)3/8b)1/6c)1/2d)1/3Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An organ pipe P1closed at one end vibrating in itsfirst harmonic and another pipe P2open at bothendsvibrating in its third harmonic are in resonance with agiven tuning fork. The ratio of the length of P1to thatof P2isa)3/8b)1/6c)1/2d)1/3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An organ pipe P1closed at one end vibrating in itsfirst harmonic and another pipe P2open at bothendsvibrating in its third harmonic are in resonance with agiven tuning fork. The ratio of the length of P1to thatof P2isa)3/8b)1/6c)1/2d)1/3Correct answer is option 'A'. Can you explain this answer?.
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