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A transverse wave is represented by : y = 1 0 π sin 2 π T t - 2 π λ x For what value of the wavelength the wave velocity is twice the maximum particle velocity?

Options

  1. A40 cm
  2. B60 cm
  3. C10 cm
  4. D20 cm

Correct answer

A. 40 cm

Step-by-step solution

w a v e velocity = n λ ( V p ) m a x = a ω n λ = 2 a 2 π n λ = 2 ( a ) 2 π = 2 . 10 π . 2 π = 40 cm

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