Udit Gupta Ex-VMC Physics Faculty
WELCOME TO THE 6TH LESSON IN WAVES. The sub-topics include: Vibrations of an open organ pipe and 1 Numerical. Visit: unacademy.com/plus to register for SPECIAL CLASSES.
VIBRATIONS OF AN OPEN ORGAN PIPE In an open organ pipe, both ends are open. In an open organ pipe, at both ends there will be antinodes. Fundamental mode or first mode, 1-2L, where L is the length of the pipe. Fundamental frequency V1 =-=-, where v is the speed of sound in air. This frequency is called 1st harmonic. 12 2L
Third mode: Second mode: 17 12 L 21 u 3U 13 2L This frequency is called second harmonic or 1st overtone. This frequency is called thirc harmonic or 2nd overtone.
VIBRATIONS OF AN OPEN ORGAN PIPE V1: V2: V3 1:2:3 Hence in open pipe all harmonics are present, whereas in a closed pipe only odd harmonics are present. For nth mode,An- 2L nv Frequency, vn =-=- Where n 1,2,3, This frequency is called nth harmonic or (n - 1)th overtone. n 2
VIBRATIONS OF AN OPEN ORGAN PIPE The fundamental frequency of an open organ pipe is twice that of a closed organ pipe of the same length. If an open pipe of length L is half submerged in water, it will become a closed organ pipe of length half that of open pipe as shown in figures.
VIBRATIONS OF AN OPEN ORGAN PIPE So its frequency will become v.-- frequency will remain unchanged 1 =-= vo, i.e. equal to that of open pipe ie, 4. 2L 2 L/2 L/2 LI2
NUMERICAL 3 An air column, closed at one end and open at the other resonates with a tuning fork when the smallest length of the column is 50cm. Find the next larger length of column resonating with the same tuning fork.
SOLUTION 3 From figure, First harmonic is obtained at l =-= 50cm 4 Third harmonic is obtained for resonance, 34150cm
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A Mechanical Engineer from NIT Allahabad here to help learners with physics. Also a Star ⭐ educator.