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A wave traveling in the x-direction has a displacement along y- direction as 1 m, wavelength 2 $π$ m and frequency of 1 Hz is represented by

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y = sin(x -2 $π$ t)

y = sin(2 $π$ x + 2 $π$ t)

y = sin(2 $π$ x – 2 $π$ t)

y = sin(10 $π$ x – 10 $π$ t)

answer is A.

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Detailed Solution

$ω = 2 π x 1 = 2 π rod / \sec; K = \frac{2 π}{λ} = \frac{2 π}{2 π} = 1$
A = 1m
wave is moving along +ve x-direction
y = A sin(kx- $ω$ t) ; y = A sin(x-2 $π$ t)

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