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A wave is represented by the equation ...

A wave is represented by the equation `y= A sin ( 10 pi x + 15 pi t + (pi)/(6))` wher x is in metre and t in second. The expression represents

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

Text Solution

Verified by Experts

`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.
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