Question

A transverse wave has amplitude A and travels with speed 2 m/s and wavelength is 8 m. At t=0, a particular point of wave has a vertical displacement +A, find the time when vertical displacement of this same point be -A.

• A. $t=\frac{1}{8}s$
• B. $t=\frac{1}{4}s$
• C. $t=\frac{1}{2}s$
• D. $t=2s$
• E. $t=4s$

Answer 1

The correct option is D $t=2s$

The time period of oscillation o f the wave is $T=\frac{\lambda }{\nu }=\frac{8m}{2m/s}=4s$

Time duration between out of phase displacements of a point in the wave=Half the time period=$\frac{T}{2}$

$=2s$