A 50.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the second mode?
Question
A 50.0 cm long organ pipe is filled with air and is open at both ends. The speed of sound in air at 0°C is 331 m/s. What is the frequency of the second mode?
Solution
Sure, here is the step by step solution:
Step 1: Understand the problem The organ pipe is open at both ends, which means it forms a standing wave with antinodes (areas of maximum vibration) at both ends. The second mode, also known as the second harmonic or first overtone, is the mode where the length of the pipe is equal to one full wavelength.
Step 2: Find the wavelength Since the length of the pipe is equal to one full wavelength in the second mode, the wavelength (λ) is 50.0 cm or 0.5 m.
Step 3: Use the wave speed equation
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