Final answer:
In thin film interference, increasing the slice thickness alters the interference pattern. The colors can become less vivid, and interference fringes harder to see, as the phase difference between light waves changes. The fringe spacing also depends on the wedge angle, becoming unobservable if the angle is too large.
Step-by-step explanation:
Effect of Increasing Slice Thickness in Thin Film Interference
Thin film interference occurs when light waves reflected off the top and bottom surfaces of a film, such as a soap bubble or an oil slick, interfere with each other. The slice thickness is a crucial determinant of this interference pattern.
A film with thickness t smaller than a few times the wavelength of light λ can produce vivid interference colors as the thickness of the film changes. With increasing slice thickness, the path difference between the two waves changes, which can alter the interference pattern.
When the film thickness is comparable to the light's wavelength, different colors are observed due to constructive and destructive interference at different thicknesses.
As the thickness increases, the visibility of these interference fringes can decrease, and the colors can become less vivid. This change in visibility is because the phase differences between the reflected light waves vary with thickness, affecting the conditions for constructive and destructive interference.
Another factor influenced by t is the spacing of interference fringes. In the case of a wedge of air between two slides, an increase in thickness can cause the fringes to be more difficult to see. The spacing and visibility of fringes depends on the wedge angle as well; if the wedge angle is too large, interference fringes are not observed at all, due to a significant change in path length differences for different angles of incidence.