Physics 9702 · AS & A Level · Progressive waves

Progressive waves — practice question

(a(i))[1]

For a progressive wave, state the meaning of the period.

(a(ii))[1]

For a progressive wave, state the meaning of the wavelength.

(b)

Fig. 4.1 shows how displacement $x$ varies with time $t$ for two progressive waves P and Q passing the same point. Their speed is $20\,\text{cm s}^{-1}$.

(b(i))[2]

Calculate the waves’ wavelength.

(b(ii))[1]

Determine the phase difference for the two waves.

(b(iii))[2]

Calculate the ratio formed by $\dfrac{\text{intensity of wave Q}}{\text{intensity of wave P}}$.

(b(iv))[1]

As the two waves pass the same point, they superpose. Use Fig. 4.1 to find the resultant displacement at time $t = 0.45\,\text{s}$.

(ii)[1]

Determine the phase difference between the two waves.

(iii)[2]

Calculate the ratio $\dfrac{\text{intensity of wave Q}}{\text{intensity of wave P}}$.

(iv)[1]

Because the two waves superpose at the same point, use Fig. 4.1 to work out the resultant displacement at time $t = 0.45\,\text{s}$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: time taken for one oscillation / cycle / vibration

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