1. Two single-frequency sounds are emitted from separate speakers, both of which are equipped with wheels that allow them to be moved along a common pair of straight-line tracks, and their positions recorded, as shown in the diagram. The speakers are driven by the same source, producing monotones from the speakers that are in phase and at the same frequency. The speaker at x₁ = 0 cm remains at rest, while the other speaker is rolled forward until a listener positioned in front of the speakers hears silence. The speaker is then rolled forward another 215 cm and is stopped at a new position. In this configuration the listener once again hears silence. The speed of sound in this region is 344 m/s. x = x₁ x = x₂ (a) Find the frequency of the tone emitted by the speakers. (b) In the process of rolling the front speaker to its new position, the rear speaker is turned off and the rolling speaker is left on. If its rolling speed is held constant and it takes 0.250 s to get from its old position to the new one, find the frequency of the moving front speaker as heard by the listener.

1. Two single-frequency sounds are emitted from separate speakers, both of which are equipped with wheels that allow them to be moved along a common pair of straight-line tracks, and their positions recorded, as shown in the diagram. The speakers are driven by the same source, producing monotones from the speakers that are in phase and at the same frequency. The speaker at x₁ = 0 cm remains at rest, while the other speaker is rolled forward until a listener positioned in front of the speakers hears silence. The speaker is then rolled forward another 215 cm and is stopped at a new position. In this configuration the listener once again hears silence. The speed of sound in this region is 344 m/s. x = x₁ x = x₂ (a) Find the frequency of the tone emitted by the speakers. (b) In the process of rolling the front speaker to its new position, the rear speaker is turned off and the rolling speaker is left on. If its rolling speed is held constant and it takes 0.250 s to get from its old position to the new one, find the frequency of the moving front speaker as heard by the listener.