Each of the diagrams below represents a snapshot of two springs at an instant af

Question

Each of the diagrams below represents a snapshot of two springs at an instant after a pulse has reached the boundary between them. The linear mass density, mu, is greater for the tightly coiled spring than for the other spring. Each diagram may contain a flaw that would not be observed with real springs. For each diagram, determine whether there is a flaw. If so: Describe the flaw. (A single flaw is sufficient.) If not: (1) Make a sketch that shows the shape, width, and direction of motion of the incident pulse, and (2) identify and label the reflected and transmitted pulses.

Explanation / Answer

In (a) the tigher coiled spring will not have sharp points of crest and trough. The crest and troughs will be more circular than triangular than the lighter spring

The pulse will be inverted, and of smaller wavelength.

In(b) the amplitude of lighter coiled spring will be more than that of tighter coiled spring and will not be inverted,and of larger wavelength.

Smaller wavelength also means small velocity of pulse.

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