A young\'s double slit experiment is performed with a slit separation of d = 3.7

Question

A young's double slit experiment is performed with a slit separation of d = 3.7a and each slit is of size a = 0.2 mm. How many interfreence fringe maxima fall under the central diffraction maxima? Draw of sketch of the intensity distribution on the screen 2m away. 4. Consider a randomly polarized beam at 550 nm and intensity of 100 units incident on a plane Polaroid sheet whose polarization angle is along the y-axis. A second sheet of Polaroid with its polarization angle at 25 degrees with respect to the y-axis is inserted after the first Polaroid. What is the intensity after this sheet? A third sheet is then inserted with polarization axis at 90 degrees with respect to the first. What is the intensity after this Polaroid sheet?

Explanation / Answer

Question 3:

The number of interference maxima will lie within the central diffraction maxima is given by,

N = 2(d/e) - 1

N = 2(3.7a/a) - 1

N = 7.4-1 = 6.4 = 6

N = 6 fringes

Question 4:

The light exiting the second sheet obeys: Malus Law:

I2 = I1 cos2e

Intensity after crossing the first sheet, I1 = 50 units;

e = 25 deg;

Intensity after crossing the second sheet,I2 = 41.0697 units

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