A wave is represented by the equation
`y = A sin (10 pi x + 15 pi t + pi//3)`
Where x is in metre and t is in second.
a wave travelling in the positive x-direction with a velocity of 1.5 m/s
a wave travelling in the negative x-direction with a velocity 1.5 m/s
a wave travelling in the negative x-direction with a wavelength of 0.2 m
a wave travelling in the positive x-direction with a wavelength 0.2 m

Options

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

a

Explanation

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`