# Problem: The sketch shows a thin film of soapy water of uniform thickness t and index of refraction n = 1.33 suspended in air. Consider rays 1 and 2 emerging from the film. Ray 1 represents that reflected wave at the air-film interface and ray 2 represents the wave that reflects off the lower surface of the film.Which of the following statements correctly describes rays 1 and 2 and their path difference?Check all that applya. Ray 1 undergoes a half-cycle phase shift. Ray 2 does not undergo any phase shift.b. Both rays 1 and 2 undergo a half-cycle phase shift.c. Ray 2 undergoes a half-cycle phase shift. Ray 1 does not undergo any phase shift.d. The path difference between rays 1 and 2 is about t.e. There is no path difference between the two rays.f. The path difference between rays 1 and 2 is about 2t.

###### FREE Expert Solution

From the diagram, ray 1 undergoes a half-cycle phase shift.

Ray 2 does not undergo any phase shift.

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###### Problem Details

The sketch shows a thin film of soapy water of uniform thickness t and index of refraction n = 1.33 suspended in air. Consider rays 1 and 2 emerging from the film. Ray 1 represents that reflected wave at the air-film interface and ray 2 represents the wave that reflects off the lower surface of the film.

Which of the following statements correctly describes rays 1 and 2 and their path difference?
Check all that apply
a. Ray 1 undergoes a half-cycle phase shift. Ray 2 does not undergo any phase shift.
b. Both rays 1 and 2 undergo a half-cycle phase shift.
c. Ray 2 undergoes a half-cycle phase shift. Ray 1 does not undergo any phase shift.
d. The path difference between rays 1 and 2 is about t.
e. There is no path difference between the two rays.
f. The path difference between rays 1 and 2 is about 2t.