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. 1.0 radian
B. 1.25 radian
C. 1.57 radian
D. 0.57 radian

Answer

A

Explanation

`y_(1)=asin(omegat+kx+0.57)`
`therefore` Phase, `phi_(1)=omegat+kx+0.57`
`y_(2)=acos(omegat+kx)=asin(omegat+kx+(pi)/(2))`
`therefore` Phase, `phi_(2)=omegat+kx+(pi)/(2)`
Phase difference, `Deltaphi=phi_(2)-phi_(1)`
`=(omegat+kx+(pi)/(2))-(omegat+kx+0.57)=(pi)/(2)-0.57`
`=(1.57-0.57)` radian = 1 radian