1.

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 isA. 1.0 radianB. 1.25 radianC. 1.57 radianD. 0.57 radian

Answer» Correct Answer - A
`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`=1 radian


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