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Physics of Sound

  1. The phase difference between two waves, represented by
    y1 = 10–6 sin{100 t + (x/50) + 0.5} m
    y1 = 10–6 cos{100 t + (x/50)} m
    where x is expressed in metres and t is expressed in seconds, is approximately
    1. ​1.5 radians
    2. 1.07 radians
    3. 2.07 radians
    4. 0.5 radians
Correct Option: B

y1 = 10–6 sin (100 t + x/50 + 0.5)m
= 10–6 cos (100 t + x/50 – π/2 + 0.5)m
y2 = 10–6 cos (100 t + x/50)m
∴ φ = π/2 – 0.5 = 1.07 rad



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