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A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2π m and frequency 1/π Hz is represented by

1. y = sin (2πx − 2πt)
2. y = sin (10πx − 20πt)
3. y = sin (2πx + 2πt)
4. y = sin (x − 2t)

Correct answer: y = sin (2πx − 2πt)

Solution

The general equation of a wave traveling in the +x direction is y = A sin(kx - ωt), where k = 2π/λ and ω = 2πf. Here, A = 1 m, λ = 2π m, and f = 1/π Hz. Substituting these values, k = 1 and ω = 2, giving y = sin(2πx - 2πt).

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