Two waves are represented by the equations
`y_(1)=asin(omegat+kx+0.57)m` and
`y_(2)=acos(omegat+kx)`m,
where x is in metres and t is in seconds. The phase difference between them is

Options

A. 1.25 rad
B. 1.57 rad
C. 0.57 rad
D. 1.0 rad

Answer

D

Explanation

`y_(1)=a sin (omega t+kx+0.57) m`
and `y_(2)=a cos (omega t+kx) m`
`= a sin (pi/2 +omega t+kx) m`
Phase difference, `Delta phi=phi_(2)-phi_(1)`
`=pi/2-0.57=1.57-0.57=1` rad