Hi there, I have two questions regarding physics and waves. Please show your wor

Question

Hi there, I have two questions regarding physics and waves. Please show your work, if possible. Thank you.

Consider transverse waves on a wire string, with the changes listed below. Answer `true' (T), `false' (F), or `cannot tell' (C) to each of the five statements.

1) If the tension is decreased and the mass of the wire is decreased (assuming the length remains the same), then the wave speed increases.

2) If the tension is quadrupled, the mass of the wire is doubled, and the length is halved, then the wave speed remains the same.

3) If the tension in the wire is doubled, the speed of the transverse wave doubles.

4) If the length of the wire increases by a factor of 4 and the tension and mass remain the same, the speed of the transverse wave increases by a factor of 2.

5) If the mass of the wire is quadrupled and the tension and length remain the same, the speed of the transverse wave increases by a factor of 2.

Q2)

Consider the snapshot graph given below, which shows a wave traveling to the left with a phase speed of 2 m/s. The coordinates (x,y) of the vertices marked on the graph, listed from left to right, are (5,0), (7,-2), (8,2), (9,0).

A)  Draw a snapshot graph of the wave at t = 0.5 s. Assume that x is measured in meters and y in centimeters. Enter the new coordinates for the vertices from left to right, as x1, y1, ... (without units).

Correct, computer gets: (4, 0), (6, -2), (7, 2), (8, 0)

B) Draw a history graph for the point at x = 6 m. Assume t is measured in seconds and y is measured in centimeters. Provide the coordinates of the vertices from left to right as t1, y1, ... (without units).

Hint: Draw snapshot graphs for other times (including for t < 0) and observe the motion at the point in question.

Explanation / Answer

1) C it will depend on the ratio of the tension and the mass per unit length of the string.

2) T

3) F

4) T

5) F

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