---
title: "A beam of linearly polarized light with initial intensity \\(I_0\\) travels along the \\(z\\)-axis. The electric field of the incident light oscillates at an angle of \\(60^\\circ\\) relative to the vertical \\(y\\)-axis. The beam encounters a linear polarizing filter whose transmission axis is aligned vertically along the \\(y\\)-axis. Which of the following correctly identifies the orientation of the electric field of the transmitted light and its intensity immediately after passing through the filter?"
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url: "https://nerd-notes.com/ubq/117396/"
date_modified: "2026-08-04T06:52:03+00:00"
---

# A beam of linearly polarized light with initial intensity \(I_0\) travels along the \(z\)-axis. The electric field of the incident light oscillates at an angle of \(60^\circ\) relative to the vertical \(y\)-axis. The beam encounters a linear polarizing filter whose transmission axis is aligned vertically along the \(y\)-axis. Which of the following correctly identifies the orientation of the electric field of the transmitted light and its intensity immediately after passing through the filter?

A beam of linearly polarized light with initial intensity \(I_0\) travels along the \(z\)-axis. The electric field of the incident light oscillates at an angle of \(60^\circ\) relative to the vertical \(y\)-axis. The beam encounters a linear polarizing filter whose transmission axis is aligned vertically along the \(y\)-axis. Which of the following correctly identifies the orientation of the electric field of the transmitted light and its intensity immediately after passing through the filter?

![A horizontal z-axis extends from left to right. On the left, an incoming light wave along the z-axis has a double-headed arrow representing an electric field vector oscillating at a 60-degree angle relative to the vertical y-axis, labeled E_0. In the center, a thin rectangular polarizing filter stands upright in the xy-plane, featuring parallel vertical lines indicating a vertical transmission axis labeled Transmission Axis. To the right, the transmitted light continues along the z-axis after passing through the filter. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785826323-ACYFCz.jpg)

- **A.** Orientation: Parallel to the incident polarization direction; Intensity: \(\dfrac{1}{2}I_0\)
- **B.** Orientation: Parallel to the incident polarization direction; Intensity: \(\dfrac{3}{4}I_0\)
- **C.** Orientation: Parallel to the filter's transmission axis; Intensity: \(\dfrac{1}{2}I_0\)
- **D.** Orientation: Parallel to the filter's transmission axis; Intensity: \(\dfrac{1}{4}I_0\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117396/*