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A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a source of 1237.5 Hz? (sound velocity in air = 330 ms–1) - Physics

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Question

A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a source of 1237.5 Hz? (sound velocity in air = 330 ms–1)

Numerical

Solution

Length of pipe

             (Closed pipe)

l = 20 cm = 20 × 10–2m

vfunda=v4L=3304×20×10-2  ......(For closed pipe)

vfunda=330×10080 = 412.5 Hz

vgivenvfunda=1237.5412.5 = 3

Hence, 3rd harmonic mode of the pipe is resonantly excited by the source of given frequency.

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Chapter 15: Waves - Exercises [Page 110]

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NCERT Exemplar Physics [English] Class 11
Chapter 15 Waves
Exercises | Q 15.26 | Page 110

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