My Math Forum interference of two wave train

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 August 16th, 2012, 08:25 PM #1 Senior Member     Joined: Jan 2012 Posts: 741 Thanks: 7 interference of two wave train Which of the following is/are necessary for the production of interference with two wave trains? I. The sources must be close to each other II. The waves must have the same frequency III. The waves must have the same amplitude IV. The waves must travel with the speed of light A. I, II, III and IV B. I, II and III only C. I and II only D. II, III and IV only E. I, II and IV only I need explaination for your answer .Any help will be appreciated greatly. Thanks!
August 16th, 2012, 09:12 PM   #2
Math Team

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Re: interference of two wave train

Quote:
 Originally Posted by Chikis Which of the following is/are necessary for the production of interference with two wave trains? I. The sources must be close to each other II. The waves must have the same frequency III. The waves must have the same amplitude IV. The waves must travel with the speed of light A. I, II, III and IV B. I, II and III only C. I and II only D. II, III and IV only E. I, II and IV only I need explaination for your answer .Any help will be appreciated greatly. Thanks!
II and III only

I is disqualified because water waves in double slit experiment produce interference and the sources are not necessarilly close

II is true because $v= f \lambda$ and in the double slit experiment (which is really 3 slits, think about it!) you have a wave comming in at the double slit with velocity v, amplitude A and wavelength $\lambda$. The double slit acts as 2 coherent sources turning 1 wave into 2 with same frequency, same velocity and same wavelenth.

III is maybe... because water waves with different amplitudes interfere. Also, the equations for interference depend on distance, angle and wavelength, not on amplitude. I suppose i can imagine light waves with different amplitudes interfering... but it would be best if they had the same amplitude. For a laser light source that produces highly coherent, relatively long wavetrains of nearly monochromatic light, the incomming amplitudes are almost identical.

IV is disqualified because water waves don't travel at c but produce interference fringes when using double slit.

this is just an outline and i'm sure other posters will have better explanations as much work has been done in this area while scientists are trying to figure out the workings of the universe.

 August 16th, 2012, 09:27 PM #3 Math Team     Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 Re: interference of two wave train I just noticed my answer is not up there!!! i'll go with answer C because in light interference the spacing of the slits should be relatively close as compared to the distance from the screen.

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