The speed v of a wave on a string depends on tension F and mass per unit length mu: v = kF^amu^b. Then

  1. a = 2, b = 1
  2. a = - 12, b = 12
  3. a = 12, b = - 12
  4. a = 1, b = -1
Answer

C) a = 12, b = - 12

LT^-1 = ( MLT^-2)^a( ML^-1)^b: M: a + b = 0; T: -2a = -1. So a = 12, b = - 12: v = k F/mu. SLO P-11-A-04 · Application

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