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Question 23M.2.SL.TZ1.a

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Date May 2023 Marks available [Maximum mark: 4] Reference code 23M.2.SL.TZ1.a
Level SL Paper 2 Time zone TZ1
Command term Calculate, Plot, Show that, State Question number a Adapted from N/A
a.
[Maximum mark: 4]
23M.2.SL.TZ1.a

A transverse water wave travels to the right. The diagram shows the shape of the surface of the water at time t = 0. P and Q show two corks floating on the surface.

(i)

State what is meant by a transverse wave.

[1]

Markscheme

«A wave where the» displacement of particles/oscillations of particles/movement of particles/vibrations of particles is perpendicular/normal to the direction of energy transfer/wave travel/wave velocity/wave movement/wave propagation ✓

 

Allow medium, material, water, molecules, or atoms for particles.

(ii)

The frequency of the wave is 0.50 Hz. Calculate the speed of the wave.

[1]

Markscheme

v = «0.50 × 16 =» 8.0 «m s−1» ✓

(iii)

Plot on the diagram the position of P at time t = 0.50 s.

[1]

Markscheme

P at (8, 1.2) ✓

(iv)

Show that the phase difference between the oscillations of the two corks is π radians.

[1]

Markscheme

ALTERNATIVE 1


Phase difference is 2πλ × λ2 ✓
«= π» ✓ 

 

ALTERNATIVE 2


One wavelength/period represents «phase difference» of 2π and «corks» are ½ wavelength/period apart so phase difference is π/OWTTE