Please Show all work thank you The figure(Figure 1) shows a neutron in a one- di

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Please Show all work thank you

The figure(Figure 1) shows a neutron in a one- dimensional box. If the right end of the box is opened, the neutron travels out of the box, impinges on a double slit, and is detected 2.0 m behind the double slit Repeating the experiment over and over produces the fringe pattern shown in the figure. Part A What is the length (in nm) of the box? Express your answer using two significant figures. Figure nm Submit Request Answer 2.0 m slit spacing 15 m Provide Feedback 0.40 mm Door Number of neutrons

Explanation / Answer

Distance of maxima of order m from central maxima is y= order of maxima*wavelength*distance between screen and slit/ slit spacing or, y= m*w*D/d

So, 0.2*10^-3= 3*w*2 / 15*10^-6

So, w= 5*10^-10 m

Now, from figure, 2*w= L

So, L= 2*5*10^-10= 1*10^-9= 1.0 nm

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