Question

A wave is represented by the equetion
`y=y_(0)sin [10pix-15pit+(pi//3)]`
where x is in metres and t in seconds. The equation represent a travelling wave:
A. in the positive direction with a velocity `1.5 m//s` and wavelength 0.2 m
B. un the negative direction with a velocity `1.5 m//s` and wavelength 0.2 m
C. in the positive direction with a velocity `2 m//s` and wavelength 0.2 mk
D. in the negative direction with a velocity `2 m//s` and wavelength 1.5 m

Answer 1

Correct Answer - a
Negative sign with `omega` indicates that wave is propagating along positve `x-`axis.
`lambda=(2pi)/(k)=(2pi)/(10pi)=0.2m`
And `v=(omega)/(k)=(15pi)/(10pi)=1.5 m//s`