Question: 1. (3.0) For waves on a string, there are two formulae for the wave velocity: v = f and v= T where v is

1. (3.0) For waves on a string, there are two formulae for

1. (3.0) For waves on a string, there are two formulae for the wave velocity: v = \f and v= T where v is the wave speed, is the wavelength, fis the frequency, T is the tension, u is the mass per unit length of the string or rope. Assume that the mass and the length of the string are both constants when you change the tension/frequency, answer the following questions. [Note that this is a good approximation for the standard string/rope ; but not a good approximation for the slinky spring.] (1) How can you increase the tension in the string in the lab? Suppose that the frequency stays the same, explain what happens (and why) to the remaining variables (v, , , T, and f) as a result of this change. (2) How can you increase the frequency of the waves on the string in the lab? Suppose that the tension stays the same, explain what happens (and why) to the remaining variables (v, , , T, and f) as a result of this change.

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