For the harmonic travelling wave y = 2 cos 2 π(10t-0.0080x+3.5) where x and y are in cm and t is second. What is the phase difference between the oscillatory motion at two points separated by a distance of
(a) 4 m
(b) 0.5 m
(c) λ/2
(d) 3 λ/4
(e) what is the phase difference between the oscillation of a particle located at x = 100 cm at t = Ts and t = 5s?
Given,
y = 2 cos 2 π(10t-0.0080x+3.5)
a = 2
ω = 20 π
k = 0.016 π
φ = 7 π
(a) path difference, p = 4m = 400 cm
Substituting the values, we get phase difference = 6.4 πrad
(b) path difference, p = 0.5 m = 50 cm
Substituting the values, we get phase difference = 0.8 π rad
(c) path difference, p = λ/2
Substituting the values, we get phase difference = π rad
(d) path difference, p = 3 λ/4
Substituting the values, we get phase difference = 98 π rad
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