First slide

Equation of wave

Question

In a sine wave position, of different particles at time t = 0 is shown in the figure. The equation for this wave if it is travelling along positive x–axis can be

Moderate

A

y = A sin( $ω$ t - kx)
B

y = A sin(kx - $ω$ t)
C

y = Acos( $ω$ t - kx)
D

y = A cos(kx - $ω$ t)

Solution

At t = 0, x = 0 displacement y = 0
Therefore, option (A) and (B) may be correct.
Secondly slope at x = 0 at t = 0 is positive
i.e., particle velocity is in negative y–direction because particle velocity
= – (slope) (wave speed).
So, particle at x = 0 travelling in negative y–direction.

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