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Which of the following equation represents a simple harmonic progressive wave travelling along the negative X-direction?

Q.1 (ii) Which of the following equation represents a simple harmonic progressive wave travelling along the negative X-direction?

A. \(Y = a\sin(kx - \omega t)\)

B. \(Y = a\sin(kx + \omega t)\)

C. \(Y = a\sin(ky - \omega t)\)

D. \(Y = a\sin(ky + \omega t)\)

Doubtly Asked Board exam · July 2025 hsc 12th Save WhatsApp Report
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Answer: B. \(Y = a\sin(kx + \omega t)\)

Answer: (b) \(Y = a\sin(kx + \omega t)\)

A wave travelling along the X-axis must contain \(x\) (not \(y\)) in the phase. For a constant phase \(kx + \omega t = \text{constant}\), \(dx/dt = -\omega/k\), which is negative, so the wave moves along the negative X-direction. \(\sin(kx - \omega t)\) moves along +X.

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report
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