Question

A transverse wave is propagating through a medium. The potential energy associated with vibrating particle is maximum when the displacement of the particle from the mean position is

A. Zero
B. half of the amplitude
C. equal to the amplitude
D. none of the above

Answer 1

The potential energy is maximum when the vibrating particle's displacement is equal to the amplitude in a transverse wave, corresponding to the crests or troughs.

Step-by-step explanation:

The potential energy associated with a vibrating particle in a transverse wave is maximum when the displacement of the particle from the mean position is equal to the amplitude. In a transverse wave, the medium oscillates perpendicular to the direction of wave propagation.

The points of maximum displacement are the crests and troughs, where the particles have been moved the farthest from the equilibrium position. At these points, the potential energy is highest because the particles have been displaced the greatest distance from their rest position.