Question: An old mining tunnel disappears into a hillside. You would like to know how long the tunnel is, but its too dangerous to go inside.

An old mining tunnel disappears into a hillside. You would like to know how long the tunnel is, but it’s too dangerous to go inside.
Recalling your recent physics class, you decide to try setting up standing-wave resonances inside the tunnel. Using your subsonic amplifier and loudspeaker, you find resonances at 4.5 Hz and 6.3 Hz, and at no frequencies between these. It’s rather chilly inside the tunnel, so you estimate the sound speed to be 335 m/s. Based on your measurements, how far is it to the end of the tunnel?

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Model Model the tunnel as an openclosed tube Visualize We are given v 335 ms We would like to use ... View full answer

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