The displacement of two sinusoidal waves is given by the equation matrix y₁ = 8sin (20x - 30t) y₂ = 8sin (25x - 40t) matrix then the phase difference between the waves after time t = 2 s and distance x = 5 cm will be (a) 2 radian (b) 3 radian (c) 4 radian (d) 5 radian

Answer: (d). Phases: φ₁ = 20x - 30t, φ₂ = 25x - 40t. Δφ = φ₂ - φ₁ = 5x - 10t (magnitude taken). With x = 5 and t = 2: Δφ = 25 - 20 = 5 rad So the answer is (d) 5 radian.

The displacement of two sinusoidal waves is given by the equation… | MHT CET 2023 (12 May, Shift 1)

Q55MHT CET 2023 · 12 MAY · SHIFT 1Easy

Progressive Wave Equation

The displacement of two sinusoidal waves is given by the equation

$\begin{matrix} y_1 = 8\sin(20x - 30t) \\ y_2 = 8\sin(25x - 40t) \end{matrix}$

then the phase difference between the waves after time $t = 2\text{ s}$ and distance $x = 5\text{ cm}$ will be

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Answer: (d)

Phases: $\phi_1 = 20x - 30t$ , $\phi_2 = 25x - 40t$ .
$\Delta\phi = \phi_2 - \phi_1 = 5x - 10t$ (magnitude taken).
With $x = 5$ and $t = 2$ : $\Delta\phi = 25 - 20 = 5$ rad
So the answer is (d) 5 radian.

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Progressive Wave Equation question from MHT CET 2023 (12 May, Shift 1)

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