The irradiance pattern observed in a two-slit interference-diffraction experimen

Question

The irradiance pattern observed in a two-slit interference-diffraction experiment is presented in the figure. The red line represents the actual intensity measured as a function of angle, while the green line represents the envelope of the interference patterns.

(a) Determine the slit widthain terms of the wavelength?of the light used in the experiment.
a=

(b) Determine the center-to-center slit separationdin terms of the wavelength?.
d=

(c) Using the information in the graph, determine the ratio of slit widthato the center-to-center separation between the slits,d.

Explanation / Answer

for a double slit

I= k cos2(d sin()/) sinc2( a sin()/)

sinc(x)= sin(x)/x

from the diagram

at =0.1 maximum due sinc function and minimum due to cos funtion

d sin()/= /2

b)d=/2(sin(0.1))=5.008

a sin()/= 19/2 ( at =0.1 19 th maxima occurs due to sinc function)

a)a=95.19

c) a/d95/519

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