1996B3. Coherent monochromatic light of wavelength λ in air is incident on two narrow slits, the centers of which are 2.0 mm apart, as shown above. The interference pattern observed on a screen 5.0 m away is represented in the figure by the graph of light intensity I as a function of position x on the screen.
a. What property of light does this interference experiment demonstrate?
b. At point P in the diagram, there is a minimum in the interference pattern. Determine the path difference between the light arriving at this point from the two slits.
c. Determine the wavelength, λ, of the light.
d. Briefly and qualitatively describe how the interference pattern would change under each of the following separate modifications and explain your reasoning.
i. The experiment is performed in water, which has an index of refraction greater than 1 .
ii. One of the slits is covered.
iii. The slits are moved farther apart.