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Waves

Moderate Questions
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Physics of Sound

Oscillations
Waves
  1. A transverse wave is represented by the equation
    y - y0sin
    2π
    		(yl - x)
    π

    For what value of λ is the maximum particle velocity equal to two times the wave velocity?
    1. λ = 2πyU
    2. λ =
      πyU
      3
    3. λ =
      πyU
      2
    4. λ = 2πy∏
Correct Option: D

y = y0 sin
2π
(vy - x)
λ

Particle velocity
dy
 = y0 ×
2π
v cos ×
2π
(vt - x)
dtλλ

Maximum particle velocity = y0 ×
2πv
λ

Wave velocity = v [given]
So, y0 ×
2πv
 = 2v
λ

λ = π.y0


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