∙CE FIGURE 25-47 shows four polarization experiments in...

$\bullet$ CE FIGURE $25-47$ shows four polarization experiments in which
unpolarized incident light passes through two polarizing filters
with different orientations. Rank the four cases in order of increasing amount of transmitted light. Indicate ties where appropriate.

Key Concepts

Malus’ Law

Malus’ Law states that when polarized light is incident on a polarizing filter, the intensity I of the transmitted light is given by I = I? cos²?, where I? is the incident intensity and ? is the angle between the light’s polarization direction and the polarizer’s transmission axis. This relationship is fundamental in analyzing experiments involving successive polarizers as it quantifies the dependence of transmitted intensity on the relative orientation.

Unpolarized Light

Unpolarized light consists of electromagnetic waves oscillating in random directions perpendicular to the direction of propagation. It lacks a preferred orientation, meaning when unpolarized light passes through a polarizing filter, only the component of the light aligned with the filter’s transmission axis is allowed to pass through, reducing its overall intensity.

Polarizers

Polarizers are optical devices that transmit light waves with a specific polarization and block waves with other orientations. They are essential in experiments involving polarization because they can convert unpolarized light to polarized light or further filter already polarized light based on the orientation of their transmission axis.

Polarization

Polarization refers to the orientation of the oscillations of light waves as they propagate. In the context of polarizing experiments, understanding the concept of polarization is critical because the amount of transmitted light depends on how well the light’s polarization aligns with the transmission axis of a polarizer.

Transmission Axis and Angular Dependence

The transmission axis of a polarizer is the direction in which it allows light to pass. The alignment between successive polarizers (i.e., the relative angle between their transmission axes) determines how much light is transmitted, following a cosine-squared dependence as described by Malus’ Law. Smaller angles allow more light to pass, whereas larger angles lead to diminished transmission.

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