I am working on the following problem.(adsbygoogle = window.adsbygoogle || []).push({});

http://img244.imageshack.us/img244/9777/homeworkun4.jpg [Broken]

3. The attempt at a solution

I realize that the relative phase shift between ray 1 and ray 2 will be

[tex]\frac{4L}{\lambda}[/tex]

Next, I let

[tex]\frac{4L}{\lambda_a}=1[/tex]

and

[tex]\frac{4L}{\lambda_b}=1.5[/tex]

I did this in hopes to make the phase shift in wavelengths for [tex]\lambda_a[/tex] an integer number and the phase shift for [tex]\lambda_b[/tex] an integer plus 0.5 (to put the waves exactly out of phase).

I tried various paths from this point but cannot get a valid length for [tex]L[/tex] that puts [tex]\lambda_a[/tex] in phase and [tex]\lambda_b[/tex] out of phase. Could anyone offer a suggestion on how to proceed?

Thanks

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# Homework Help: Phase shift between two waves

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