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Question 23M.2.SL.TZ1.3

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Date May 2023 Marks available [Maximum mark: 8] Reference code 23M.2.SL.TZ1.3
Level SL Paper 2 Time zone TZ1
Command term Calculate, Determine, Explain, Plot, Show that, State Question number 3 Adapted from N/A
3.
[Maximum mark: 8]
23M.2.SL.TZ1.3
(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.

(a.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.

(a.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» ✓

(a.iii)

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

[1]

Markscheme

P at (8, 1.2) ✓

(a.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 ✓

(b)

Monochromatic light is incident on two very narrow slits. The light that passes through the slits is observed on a screen. M is directly opposite the midpoint of the slits. x represents the displacement from M in the direction shown.

A student argues that what will be observed on the screen will be a total of two bright spots opposite the slits. Explain why the student’s argument is incorrect.

[2]

Markscheme

light acts as a wave «and not a particle in this situation» ✓

light at slits will diffract / create a diffraction pattern ✓

light passing through slits will interfere / create an interference pattern «creating bright and dark spots» ✓

(c)

The graph shows the actual variation with displacement x from M of the intensity of the light on the screen. I0 is the intensity of light at the screen from one slit only.

The slits are separated by a distance of 0.18 mm and the distance to the screen is 2.2 m. Determine, in m, the wavelength of light.

[2]

Markscheme

Ue of s = λDd⇒λ = sdD  OR  s = nλDd⇒λ = sdnD ✓

λ = «0.567×10-2×0.18×10-32.2 =» 4.6 × 10−7 «m» ✓

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