In a resonance tube experiment when the tube is filled with water up to height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m s⁻¹, the tuning fork frequency is:
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Question

In a resonance tube experiment when the tube is filled with water up to height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m s⁻¹, the tuning fork frequency is:

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G1 Physics · Accepted Answer

Step 1: Use v = √(B/ρ) in a fluid, v = √(Y/ρ) for longitudinal waves in a solid, or v = √(γRT/M) for an ideal gas. Step 2: Form any required ratio before substituting values. Step 3: Evaluate with the data given. Final: C: 2200 Hz.