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.

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

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

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.

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

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

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

• -2π

• π/4

• π

• π/2

• 3π