Characteristics of Transverse Wave – Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

For a transverse wave on a string, the displacement is described by \(y = A sin(kx - \omega t)\). Then which of the following statement is incorrect?
Wave is moving along +x axis.
The shape of the string at t = 0 is a sine wave.
Wave is moving along +y axis.
Wavelength of the wave is \(\frac{2\pi}{k}\).

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

The expression \(y = A sin(kx - \omega t)\) represents a transverse wave travelling in the positive x direction. The displacement of the particles of the string is along the y-axis, but the wave energy moves along the positive x-axis. Thus, statement (3) is incorrect.

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