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Two waves are represented by the equatio...

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

A

1.0 radian

B

1.25 radian

C

1.57 radian

D

0.57 radian

Text Solution

Verified by Experts

The correct Answer is:
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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