# The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s. A.

The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s. A copper bar is given a sharp hammer blow at one end. A listener at the far end of the bar hears the sound twice, transmitted through the metal and through air at 0C, with a time interval ?t between the two pulses. (a) Which sound arrives first? (b) Find the length of the bar as a function of ?t. (c) Evaluate the length of the bar if ?t 127 ms. (d) Imagine that the copper were replaced by a much stiffer material through which sound would travel much faster. How would the answer to part (b)

The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 km/s. A copper bar is given a sharp hammer blow at one end. A listener at the far end of the bar hears the sound twice, transmitted through the metal and through air at 0C, with a time interval ?t between the two pulses. (a) Which sound arrives first? (b) Find the length of the bar as a function of ?t. (c) Evaluate the length of the bar if ?t 127 ms. (d) Imagine that the copper were replaced by a much stiffer material through which sound would travel much faster. How would the answer to part (b) change? Would it go to a well-defined limit as the signal speed in the rod goes to infinity? Explain your answer.

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