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Need the correct answer and show me the steps how to solve it. --The glass plates...

Need the correct answer and show me the steps how to solve it.

--The glass plates (n=1.5) are separated by a thin round filament. When the top plate is illuminated with light having a wavelength of 550nm. It is observed that the filament lies directly below the sixth bright fringe. The diameter of the filament is

a. 1650       b. 1788       c.1238           d. 1375          e. 1512

--The fake “diamond” polarizing angle 62.97 degree, what is the stone?

a. n=1.560    b. n=1.517      c. 1.712     d.1.960        e.2.417

--Slit width 2 light wave length ? , ? =4.3 ? dark fringles on a semicircular.

a. 2      b. 4        c. 6        d. 8          e. 9

-- The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between two spectral lines obtained with a diffraction grating that has 5000 lines/cm

a. 7.7degrees     b.16.6degrees       c. 6.6degrees         d. 3.2degrees          e. 19.2degrees

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