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Need help on number 4.. Each of the diagrams below represents a snapshot of two

ID: 249699 • Letter: N

Question

Need help on number 4.. 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 flaws that would not be observed with real springs. For each diagram: Determine whether there is a flaw. If there is a flaw, describe it (a single flaw is sufficient) and continue to the next diagram. If there are no flaws, answer parts b and c. Make a sketch that shows the shape, width, and direction of motion of the incident pulse. Determine which pulse is the reflected pulse and which is the transmitted pulse.

Explanation / Answer

Q4.

Figure 1

when a wave travels from a heavier string to a lighter string (from smaller wave speed to larger wave speed). NO inversion of pulse takes place. Frequency remains same. Wave length is larger for the lighter string (larger wave speed ) . So width of transmitted pulse on lighter string (larger wave speed) must be larger than the width of incident pulse which is on a heavier string. Also width of reflected pulse on heavier string (smaller wave speed) must be equal to the width of incident pulse which was on the same string.

Figure 2

when a wave travels from a lighter string to a heavier string (from larger wave speed to smaller wave speed). Inversion of pulse takes place. Frequency remains same. Wave length is larger for the lighter string (larger wave speed ) . So width of transmitted pulse on heavier string (smaller wave speed) must be smaller than the width of incident pulse which is on a lighter string. Also width of reflected pulse on lighter string (larger wave speed) must be equal to the width of incident pulse which was on the same string.

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