(a) Define the speed of a progressive mechanical wave travelling along a stretched…

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

(a) Define the speed of a progressive mechanical wave travelling along a stretched string. (b) Starting only from the definitions of wavelength

\lambda

and period

T

, derive the relation

v=\dfrac{\lambda}{T}=\lambda\nu

for the speed

v

of the wave. (c) A particular crest starts from the origin at

t=0

. Explain why, after completing 12 periods, this crest will have covered a distance exactly equal to

12\,\lambda

along the string.