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The temperature of an organ pipe when it...

The temperature of an organ pipe when it is in resonance with a tuning fork is increased. How does the resonant length change?

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To solve the problem of how the resonant length of an organ pipe changes when the temperature increases, we can follow these steps: ### Step 1: Understand the relationship between temperature and the speed of sound The speed of sound in air is affected by temperature. It can be expressed as: \[ v = v_0 \sqrt{\frac{T}{T_0}} \] where \( v_0 \) is the speed of sound at a reference temperature \( T_0 \) and \( T \) is the new temperature. ### Step 2: Relate speed of sound to resonant frequency and length ...
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