A wave is represented by the equation
`y = A sin(10pix + 15pit + (pi)/(3))`
where `x` is in meter and `t` is in seconds. The expression represents :

Options

A. A wave travelling in positive x direction with a velocity of 1.5 m/s
B. A wave travelling in negative x-direction with a velocity of 1.5 m/s
C. A wave travelling in the negative x-direction having a wavelength 0.2 m.
D. wave travelling in positive x-direction having a wavelength 0.2 m

Explanation

`y=Asin(10pix+15pit+pi//3)`
`kx=10 pix`
`rArr (2pi)/lambda=10pi rArr lambda` = 0.2 m
`omegat=15 pit`
`(2pi)/T=15pi rArr T=2/15 s `
`v=lambda/T=0.2/(2//15)` = 1.5 m/s
This wave is travelling in -ve X-axis.