(Solved): #32 In Figure \( (a) \) below, unpolarized light is sent into a system of three polarizing sheets. T ...

In Figure \( (a) \) below, unpolarized light is sent into a system of three polarizing sheets. The angles \( \theta_{1}, \theta_{2} \), and \( \theta_{3} \) of the polarizing directions are measured counterclockwise from the positive direction of the y axis (they are not drawn to scale). Angles \( \theta_{1} \) and \( \theta_{3} \) are fixed, but angle \( \theta_{2} \) can be varied. Figure (b) gives the intensity of the light emerging from sheet 3 as a function of \( \theta_{2} \). (The scale of the intensity axis is not indicated.) What percentage of the light's initial intensity is transmitted by the system when \( \theta_{2}=57^{\circ} \) ?