Two lasers with very nearly the same wavelength can generate a beatfrequency if

Question

Two lasers with very nearly the same wavelength can generate a beatfrequency if both laser beams illuminate a photodetector with avery fast response. In an experiment, one laser's wavelength hasbeen stabilized at 780.54492 nm.The second laser starts with a longer wavelength that is slowlydecreased until the beat frequency between the two lasersis 82.5 MHz. What is the secondlaser's wavelength? (Express your answer to five decimalplaces.) fbeat=lf1-f2l f=c/x1-c/x2 82500000=384346-3e8/x x=3.65338 can some one tell me why i keepgetting the wrong awnser :( :( fbeat=lf1-f2l f=c/x1-c/x2 82500000=384346-3e8/x x=3.65338 can some one tell me why i keepgetting the wrong awnser :( :(

Explanation / Answer

82.5 * 10 ^ 6 = [ ( 3 * 10 ^ 8 ) / ( 780.54492 * 10 ^ -9 ) ] -[(3 * 10 ^ 8 ) / ] [82.5 * 10 ^ 6 ] / [ ( 3 * 10 ^ 8 ) ] = 1.2811 * 10 ^ 6 -(1/ ) ( 1/ ) =  1.2811 * 10 ^ 6 -0.275            =1.28109 * 10 ^ 6         = 7.80579 *10 ^ -7 m            =780.579 nm

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