I NEED SERIOUS HELP IN ANSWERING PROBLEMS #2, #3, AND #4. PLEASE SHOW STEP-BY-ST

Question

I NEED SERIOUS HELP IN ANSWERING PROBLEMS #2, #3, AND #4. PLEASE SHOW STEP-BY-STEP WORK IN PROBLEM #2 AND PLEASE ANSWER PROBLEMS #3 AND #4 COMPLETELY. I THANK YOU IN ADVANCE AND WILL POST A GENEROUS AMOUNT OF POINTS FOR THIS.

Light from a HeNe laser (A = 632.8 nm) strikes a pair of slits at normal incidence, forming a double slit pattern on a screen 1.4 m from the slits, as shown in the figure below. What is the slit spacing? An experiment is performed by passing light through one or two slits and the light pattern to the right is produced. Determine the best answer and explain how you can tell: the pattern produced was a result of a double slit interference experiment the pattern produced was a result of a single slit diffraction experiment More information is needed, i.e. the wavelength of the source, the distance it is from the slit(s) and how far the slit is to the viewing screen, before it can be determined which type of experiment produced the pattern Now, you observe the following light pattern. Select all the possible changes in experimental conditions that might have caused the differences in the original pattern (that shown in problem 3) to that which you observe now. the wavelength of the light source was increased the wavelength of the light source was decreased the slit width/slit separation was increased the slit width/slit separation was decreased the experiment was changed from a double slit to single slit the experiment was changed from a single slit to a double slit

Explanation / Answer

Part 2)

Apply y/L = m(wavelength)/d

y = 23mm/4 = 5.75 mm or .00575 m

.00575/1.4 = (1)(632.8 X 10-9)/d

d = 1.54 X 10-4 m (0.154 mm)

Part 3)

This is from a single slit (Choice B) becuase the central maximum is twice the size of all of the other ones. In a double slit, they would all be the same.

Part 4)

The formula that governs this is y/L = m(wavelength)/a

Its still a single slit since the central max is twice as wide as all of the others.

Since y is getting larger, either wavelength is increasing or slit separation is decreasing.

Those are choices A and D.

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