1. [1pt] A piano wire is stretched to a tension of 300 N. A wire is just a string made of metal. If the wire is 1.59 m long and has a total mass of 0.190 kg, what is the phase speed of transverse waves travelling along this wire?
2. [1pt] Consider the phase speed of transverse waves on a wire, with the changes listed below. Answer 'true' (T), 'false' (F), or 'cannot tell' (C) to each of the five statements. E.g., if the answer to the first statement is T and to the rest, F, enter TFFFF.
i) If the length of the wire increases by a factor of 4 and the tension and mass remain the same, the phase speed of the transverse wave decreases by a factor of 2.
ii) If the tension in the wire is doubled, the phase speed of the transverse wave decreases by a factor of √2.
iii) If the tension is doubled and the mass of the wire is doubled (assuming the length remains the same), then the phase speed remains the same.
iv) If the mass of the wire is quadrupled and the tension and length remain the same, the phase speed of the transverse wave decreases by a factor of 4.
v) If the tension is decreased and the length of the wire is increased (assuming the mass remains the same), then the phase speed decreases.