Wave History Graph Quiz

The graph at the right is the history graph at x = 4 m of a wave traveling to the right at a speed of 2 m/s. Which is the history graph of this wave at t = 0 s?

• (a)

• (b)

• (c)

• (d)

• (e)

Draw a series of equally spaced vertical lines to represent the equilibrium positions of particles before the wave arrives.

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Use information from the graph to displace the particles in the medium to the right or left.

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The wave propagates to the right at 1 cm/s.

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Which of the following actions would make a pulse travel faster down a stretched string? More than one answer may be correct. If so, give all that are correct.

• Move your hand up and down more quickly as you generate the pulse.

• Use a heavier string of the same length, under the same tension.

• Move your hand up and down a larger distance as you generate the pulse.

• Stretch the string tighter to increase the tension.

• Use a lighter string of the same length, under the same tension.

What is the frequency of this traveling wave?

• 5 Hz

• 0.1 Hz

• 10 Hz

• 0.2 Hz

• 0.5 Hz

Determine the values of A, λ, k, f, ω, T, and ϕ₀ for this wave.

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Write the equation for the wave’s displacement as it travels.

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Draw a snapshot graph of the wave at t = 0 s.

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What is the phase difference between the crest of a wave and the adjacent trough?

• -2π

• π/4

• π

• π/2

• 3π