In a Double Slit Experiment, a Very Thin Plate of Glass

Multiple Choice

In a double slit experiment, a very thin plate of glass of refractive index 1.58 is placed in the light path of one of the slit beams. When this was done, the center of the fringe pattern was displaced by 35 fringe widths. Calculate the thickness of the glass plate if the wavelength of light is 680 nm.

A) 4.1 × 10^-5 m
B) 1.5 × 10^-5 m
C) 3.0 × 10^-5 m
D) 8.2 × 10^-5 m
E) 3.8 × 10^-5 m