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A pipe 20 cm long is closed at one end. ...

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

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To solve the problem, we need to determine which harmonic mode of a closed pipe is resonantly excited by a sound source of frequency 1237.5 Hz. The length of the pipe is 20 cm, and the speed of sound in air is given as 330 m/s. ### Step-by-Step Solution: **Step 1: Convert the length of the pipe to meters.** - The length of the pipe is given as 20 cm. - To convert centimeters to meters, we use the conversion factor: \(1 \text{ cm} = 0.01 \text{ m}\). - Therefore, \(L = 20 \text{ cm} = 20 \times 0.01 = 0.2 \text{ m}\). ...
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