Question

Which of the following equations represents a transverse wave travelling along Y-axis?

• A. x = A sin (ky - $\omega$t)
• B. y = A sin (kx - $\omega$t)
• C. y = A sin kycos$\omega$t
• D. x = A sin (ky - $\lambda$t)

Answer 1

The correct option is A x = A sin (ky - $\omega$t)

I hope you remember the general wave equation $y=Asin(kx-\omega t).$

When wave was travelling along x-direction

Here wave is travelling along y.

So particles will oscillate in(or parallel to)xz plane

So logically it should be $x=Asin(ky-\omega t)$

Also option (d) is dimensionally incorrect [λt] should be dimensionless as $\theta$.