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  • Two waves are represented by the equation y1 = a sin (t + kx + 1) m and y2 = a cos (<img alt

Two waves are represented by the equation y1 = a sin (\omegat + kx + 1) m and y2 = a cos (\omegat + kx) m, where x is in metre and t in sec. The phase difference between them is:

Option: 1

0.57 radian


Option: 2

1.0 radian


Option: 3

1.25 radian


Option: 4

1.57 radian


Answers (1)

best_answer

 

y_{1}=asin(\omega t +kx+1))

\phi_{1}=wt+kx+1

y_{2}=acos(\omega t + kx)= a sin(\omega t +kx+\pi/2)

\phi_{2}=wt+kx+\pi/2

\Delta \phi =\phi_{2}-\phi_{1}=(\omega t +kx-\pi/2)-(\omega t+kx+1)=\pi/2-1=1.57-1 = 0.57 \ radian

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Rishi

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