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A Levels Physics (9702)•9702/13/M/J/23
Question 21 from 9702/13/M/J/23

Explanation

Wave speed from frequency and wavelength Steps:

  • Identify period T from one oscillation cycle in Graph 1 (displacement vs. time); frequency f = 1/T.
  • Identify wavelength λ as distance between two consecutive crests in Graph 2 (displacement vs. distance).
  • Apply wave speed formula v = f λ, using consistent units (cm and s).
  • Compute numerical value: if T = 0.01 s (f = 100 Hz) and λ = 3 cm, then v = 100 × 3 = 300 cm/s.

Why D is correct:

  • 300 cm/s equals f λ, the standard formula for wave speed in progressive waves.

Why the others are wrong:

  • A: 40 cm/s underestimates by confusing period with frequency (e.g., v = λ/T).
  • B: 48 cm/s arises from incorrect λ measurement, like half-wavelength.
  • C: 150 cm/s halves the frequency, ignoring full cycle in Graph 1.

Final answer: D

Topic: Progressive waves

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