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      Question

      A point located 5cm away from a source of sinusoidal

      oscillations has a displacement equal to half of the maximum amplitude at time t=T/4 (where T is the time period). The source was at its mean position at t=0. What is the wavelength of the wave?
      A 0.3 m Correct Answer Incorrect Answer
      B 0.6 m Correct Answer Incorrect Answer
      C 0.10 m Correct Answer Incorrect Answer
      D 0.15m Correct Answer Incorrect Answer

      Solution

      Given:

      • Distance of point from source = 5 cm =  0.05 m
      • Displacement of point at t=T/4 = half of maximum amplitude = A/2
      • At t=0, the  source  is at  mean position  (zero displacement).
      • We are asked to find the  wavelength .
      The general equation of a progressive wave traveling along x-axis is:

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