Question

In Figure (a) below, unpolarized light is sent into a system of three polarizing sheets. The angles 01, 02, and 03 of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles O1 and 03 are fixed, but angle O2 can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of 02. (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the three-sheet system when 02 = 92°? (a) h 0 0° 60° 120° 180° (b) Number Units

Answer 1

Given On = 92, When will become half unpolarized light sent through a polarizing sheet, The intersity The ! when light will be II = 10 when polarized light sent through polarized sheet, intensity will be the age between polarization of the light and the polarization of the light. I - Il cos? when the light having intensi sity Il going through second polarized Sheet, the intensity drops. I2=I, COB, = Io cos²0₂. goes through third polarization sheet, Intensity I 3= Iz Cos? Ez - Tocose, Cosz 63 - It is important to note that the angle is measure à not with respect horisental but instead with respect to the init initially polarized light going through it. when twoangles are parallel we will get maximum intensity and it the tudo augles che perpendiculcēm we will get minimum intensity, From the diagram second polarizing sheet is perpendicule to one of the lohen @ = 60 and it is perpendiceles to the other sheet when Oz= It must be that the two other sheets are perpendicular to each other. since the only important svagle is the cugle between the consecutive. polarizing sheets. @, 20 and O3 = 90° to the vertical Oy Sheets SO T2 = tem cos? O2 = I. Cosz (92) -0-006 608 987 If 0 2 =92 and O-90, then l@g03) = 120 Iz = I2 cos² 20 0.000608246 Io. and the intensi sity of the light leaving third polarized sheet is 0.060824600