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Which general pattern holds for various excited states in standing waves on a ro

ID: 1317551 • Letter: W

Question

Which general pattern holds for various excited states in standing waves on a rope or string fixed at both ends?

More antinodes means shorter wavelengths.

Standing waves involve the interference of waves traveling in the same direction.

Guitars and violins have antinodes only in even numbers: 0, 2, 4, and so on.

Where the nodes are, you also find two antinodes.

a.

More antinodes means shorter wavelengths.

b.

Standing waves involve the interference of waves traveling in the same direction.

c.

Guitars and violins have antinodes only in even numbers: 0, 2, 4, and so on.

d.

Where the nodes are, you also find two antinodes.

Explanation / Answer

The correct option is (a)

Reason:

Antinode represents the maximum displacement of particle in a standing wave. For a given length, more antinodes represents it consists more peaks, otherwise the distance between peak/antinodes should be smaller.It implies that it has shorter wavelengths.

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