IGNOU BPHCT 131 2026 - A progressive wave is described by$Determine its direction of prop

Question

A progressive wave is described by
$$y(x,t) = (2) \sin \left[ 800\pi t - \frac{\pi x}{30} \right] \text{cm}$ $
Determine its direction of propagation and calculate the amplitude, wave number, wavelength and frequency of the wave.

19 Jan 2026

Answer :

Word Count : 228

The given wave is: [ y(x,t) = 2 \sin\left[ 800 \pi t - \frac{\pi x}{30} \right] \text{ cm} ] Step 1: Identify the standard form The standard form of a progressive wave is: [ y(x,t) = A \sin(\omega t \pm kx) ] Where: * (A) = amplitude * (\omega) = angular frequency ((2 \pi f)) * (k) = wave number ((2 \pi / \lambda)) * The sign of (kx) determines direction: * ( -kx ) → wave propagates in the

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