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JAMB Physics 1999 Question 23

Question 23

Waves

The equation of a wave travelling along the positive x-direction is given by y = 0.25 × 10−3 sin (500 t − 0.025x). Determine the angular frequency of the wave motion.

  1. A.0.25 × 10−3 rad s−1
  2. B.0.25 × 10−1 rad s−1
  3. C.5.00 × 102 rad s−1
  4. D.2.50 × 103 rad s−1
Show the answer and explanation

Answer: C (5.00 × 102 rad s−1)

Explanation

Compare with y = A sin(ωt − kx): the coefficient of t is ω = 500 = 5.00 × 102 rad s−1.