Physics 9702 · AS & A Level · Progressive waves

Progressive waves — practice question

A student is investigating a water wave whose wavefronts are all parallel to one another. Figure 5.1 shows how the displacement x of one particle in the wave varies with time t. The distance d of the oscillating particles from the source of the waves is measured. At one instant, Figure 5.2 shows how the displacement x changes with this distance d.
(a(i))[1]

Define, for a wave, the meaning of displacement.

(a(ii))[1]

Define, for a wave, the meaning of wavelength.

(b(i))[1]

Use Figs. 5.1 and 5.2 to determine the vibration period T for the water wave.

(b(ii))[1]

Use Figs. 5.1 and 5.2 to determine the wavelength $\lambda$ for the water wave.

(b(iii))[2]

Use Figs. 5.1 and 5.2 to determine the speed $v$ of the water wave.

(c(i))[2]

Use Figs. 5.1 and 5.2 to state and explain whether the wave loses power as it moves away from the source.

(c(ii))[3]

Determine the ratio $\frac{\text{intensity of wave at source}}{\text{intensity of wave } 6.0\,\text{cm from source}}$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: separation of a point on the wave from its rest/equilibrium position

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