A glass sheet is covered by a very thin opaque coating. In the middle of this sheet there is a thin scratch 0.00125 mm thick. The sheet is totally immersed beneath the surface of a liquid. Parallel rays of monochromatic coherent light with wavelength 612 nm in air strike the sheet perpendicular to its surface and pass through the scratch. A screen is placed in the liquid a distance of 30.0 cm away from the sheet and parallel to it. You observe that the first dark fringes on either side of the central bright fringe on the screen are 22.4 cm apart. What is the refractive index of the liquid?

A glass sheet is covered by a very thin opaque coating. In the middle of this sheet there is a thin scratch 0.00125 mm thick. The sheet is totally immersed beneath the surface of a liquid. Parallel rays of monochromatic coherent light with wavelength 612 nm in air strike the sheet perpendicular to its surface and pass through the scratch. A screen is placed in the liquid a distance of 30.0 cm away from the sheet and parallel to it. You observe that the first dark fringes on either side of the central bright fringe on the screen are 22.4 cm apart. What is the refractive index of the liquid?

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Question

A glass sheet is covered by a very thin opaque coating. In
the middle of this sheet there is a thin scratch 0.00125 mm thick. The
sheet is totally immersed beneath the surface of a liquid. Parallel rays of
monochromatic coherent light with wavelength 612 nm in air strike the
sheet perpendicular to its surface and pass through the scratch. A screen
is placed in the liquid a distance of 30.0 cm away from the sheet and
parallel to it. You observe that the first dark fringes on either side of the
central bright fringe on the screen are 22.4 cm apart. What is the refractive
index of the liquid?

Expert Solution