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MHT CET 2026 (13 Apr, Shift 2) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2026 (13 Apr, Shift 2)

Q19MHT CET 2026 · 13 APR · SHIFT 2Easy

Progressive Wave Equation

Two waves are represented by the equations, y1=asin⁡(ωt+kx+0.57)y_1 = a\sin(\omega t + kx + 0.57) m and y2=acos⁡(ωt+kx)y_2 = a\cos(\omega t + kx) m, where xx is in metre and tt is in second. What is the phase difference between them? (π=3.14\pi = 3.14)

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Answer: (d)

  1. y2=acos⁡(ωt+kx)=asin⁡(ωt+kx+π2)=asin⁡(ωt+kx+1.57)y_2 = a\cos(\omega t + kx) = a\sin\left(\omega t + kx + \frac{\pi}{2}\right) = a\sin(\omega t + kx + 1.57)
  2. y1y_1 has phase constant 0.570.57, y2y_2 has 1.571.57.
  3. Δϕ=1.57−0.57=1.0\Delta\phi = 1.57 - 0.57 = 1.0 rad
  4. So the answer is (d) 1.01.0 radian.
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