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Question: Answered & Verified by Expert
A simple harmonic progressive wave is represented as y = 0.03 sinπ2t-0.01xm . At a given instant of time, the phase difference between two particles 25 m apart is
PhysicsWaves and SoundMHT CETMHT CET 2019 (Shift 2)
Options:
  • A πrad
  • B π2rad
  • C π4rad
  • D π8rad
Solution:
1647 Upvotes Verified Answer
The correct answer is: π4rad
The given equation of SHM wave is
y=0.03sinπ2t-0.01xm
= 0.03sin2πt-0.01πxm
Comparing it with general equation, we get
y=asinωt-kx
Where, k=2πλλ=200m
The phase difference between two particles is given by
Δϕ=kx=2πλ×x … (i)
Here, x = 25 m
Substituting the values of x an λ in Eq. (i), we get
Δϕ=2π200×25=π4rad

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