Interference of Triangular Pulses. Two triangular wave pulses are traveling toward each other on a stretched string as shown in Fig. E15.32. Each pulse is identical to the other and travels at \(2.00\;{{{\rm{cm}}} \mathord{\left/ {\vphantom {{{\rm{cm}}} {\rm{s}}}} \right. \\} {\rm{s}}}\). The leading edges of the pulses are \(1.00\;{\rm{cm}}\) apart at \(t = 0\). Sketch the shape of the string at \(t = 0.250\;{\rm{s}}\), \(t = 0.500\;{\rm{s}}\), \(t = 0.750\;{\rm{s}}\), \(t = 1.000\;{\rm{s}}\), and \(t = 1.250\;{\rm{s}}\)

The given data can be listed below as,

• The pulse speed is, \(2.00\;{{{\rm{cm}}} \mathord{\left/ {\vphantom {{{\rm{cm}}} {\rm{s}}}} \right. \\} {\rm{s}}}\).
• The given times are, \(t = 0.250\;{\rm{s}},\,t = 0.500\;{\rm{s}},\,t = 0.750\;{\rm{s}},\,t = 1.000\;{\rm{s}},\,t = 1.250\;{\rm{s}}\).

As a wave property, wave speed can refer to the absolute value of phase velocity, which is the speed at which a wave phase moves through space at a particular frequency group velocity, which differs from the phase velocity for dispersive waves, is the speed at which wave groups and frequently wave energy propagate.

When the pulses overlap, they interfere, but once they have completely passed through one another, they take on their original shape again.

Figure represents the shape of the string at each designated period.