7.Two polarizers are oriented at 42.0^circ to one another .Light polarized at : 21.0^circ angle to each polarizer passes through both.What is the transmitted inten. sity (0,0)[1] ?

To find the transmitted intensity, we can use Malus's law, which relates the intensity of light passing through a polarizer to the angle between the light's initial polarization direction and the axis of the polarizer.Malus's law states that the intensity of light passing through a polarizer is given by: where:- is the transmitted intensity,- is the initial intensity of the light,- is the angle between the light's initial polarization direction and the axis of the polarizer.In this case, the light is polarized at an angle of to each polarizer, and the two polarizers are oriented at an angle of to one another. To find the transmitted intensity, we need to consider the effect of both polarizers.Let's denote the initial intensity of the light as . After passing through the first polarizer, the intensity of the light becomes: Now, the light passes through the second polarizer, which is oriented at an angle of to the first polarizer. The angle between the light's polarization direction and the axis of the second polarizer is .Using Malus's law, the transmitted intensity after passing through the second polarizer is: Substituting the expression for , we get: Therefore, the transmitted intensity is: This is the transmitted intensity of the light after passing through both polarizers.