Linearly polarized light is transmitted through two polarizers as shown in the figure. The light is polarized in the y-direction. The axis of the first polarizer is at θ1 = 22° to the y-direction. The axis of the second polarizer is at θ2 = 46° to the y-direction. The intensity of the initial beam of polarized light is I0.(a) Express the intensity of the light after it passes through the first polarizer, I1, in terms of I0, and θ1. (b) Express the intensity of the light after it passes through the second polarizer, I2, in terms of I1, Δθ12, where Δθ12 = θ2 - θ1. ### Understanding Polarized LightThe diagram above illustrates the concept of polarized light. On the left, there is a representation of light waves aligned in a single direction, indicated by the vertical arrows pointing upwards with the label "y." This depicts the orientation of the polarized light.On the right side of the diagram, there are two circles with diagonal lines inside, each representing a polarizing filter. Above each circle, angles \(\theta_1\) and \(\theta_2\) are shown, representing the angle of the filter relative to the direction of polarization (y-axis). The angles illustrate how the orientation of a polarizing filter can affect the passage of light.Key Concepts:- **Polarized Light**: Light waves that vibrate in parallel planes. In this image, the waves are vertically polarized.- **Polarizing Filters**: These filters allow only light waves aligned with the filter's orientation to pass through.- **Angles \(\theta_1\) and \(\theta_2\)**: Indicate the orientation of each polarizing filter, which will affect light transmission based on their alignment with the incoming polarized light.This diagram helps in understanding how changing the angle of polarizing filters can control light transmission in optical devices.

Solution: As per the given Figure, The intensity of the light after it passes through the first…

Linearly polarized light is transmitted through two polarizers as shown in the figure. The light is polarized in the y-direction. The axis of the first polarizer is at θ1 = 22° to the y-direction. The axis of the second polarizer is at θ2 = 46° to the y-direction. The intensity of the initial beam of polarized light is I0. (a) Express the intensity of the light after it passes through the first polarizer, I1, in terms of I0, and θ1. (b) Express the intensity of the light after it passes through the second polarizer, I2, in terms of I1, Δθ12, where Δθ12 = θ2 - θ1.

Linearly polarized light is transmitted through two polarizers as shown in the figure. The light is polarized in the y-direction. The axis of the first polarizer is at θ1 = 22° to the y-direction. The axis of the second polarizer is at θ2 = 46° to the y-direction. The intensity of the initial beam of polarized light is I0. (a) Express the intensity of the light after it passes through the first polarizer, I1, in terms of I0, and θ1. (b) Express the intensity of the light after it passes through the second polarizer, I2, in terms of I1, Δθ12, where Δθ12 = θ2 - θ1.

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