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Question

Two points on string are being observed as a travelling wave passes them. The points are at x1=0 and x2=l m, the transverse motions of two points are found to be as follows y1=A sin (3 πt) and y2=A sin(3πt+π8) ; t is in seconds and y in metre. Mark correct options
  1. Frequency of wave is 3 HZ
  2. Frequency of wave is 1.5 Hz
  3. Wavelength may be 16 m
  4. Wavelength may be 1615m


Solution

The correct options are
B Frequency of wave is 1.5 Hz
C Wavelength may be 16 m
y1=A sin 3πty2=A sin (3πt+π8)   ϕ=π8 and 2πv=3π   v=1.5Ask =ωv and ϕ=kx   3πv×1=π8 v=24ms    λ=24×23=16 m

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