Who ever has the most detailed answers to ALL the questions - I will award the p

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Who ever has the most detailed answers to ALL the questions - I will award the points to!

Please & thank you!

1.Two lasers are shining on a double-slit, with slit separation d. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patterns on a screen a distance 4.40 m away from the slits.

(a) What is the distance between the second maximum of laser 1 and the fourth minimum of laser 2, on the same side of the central maximum?

(b) Determine the difference in the vertical distance between the second diffraction minima on the above screen due to each of the above lasers shining on a single silt with width d/10. (Assume d = 0.5 mm)

Explanation / Answer

a)x(1) = n ? L / d = 1 . (d/ 20) . 4.4 / d = 0.22 m

x(2) = 4.4 / 15 = 0.2933 m

So distance between them is 0.0733 m

b)
x(1) = 0.44 ( for the 2nd max )

x(2) = 2.5 . 0.2933 = 0.73325 m ( for the 3rd in )

Separation = 0.29325 m

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