/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 62 BIO Seeing Polarized Light. Some... [FREE SOLUTION] | 91Ó°ÊÓ

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BIO Seeing Polarized Light. Some insect eyes have two types of cells that are sensitive to the plane of polarization of light. In a simple model, one cell type (type \(\mathrm{H}\) ) is sensitive to horizontally polarized light only, and the other cell type (type \(\mathrm{V}\) ) is sensitive to vertically polarized light only. To study the responses of these cells, researchers fix the insect in a normal, upright position so that one eye is illuminated by a light source. Then several experiments are carried out. First, light with a plane of polarization at \(45^{\circ}\) to the horizontal shines on the insect. Which statement is true about the two types of cells? (a) Both types detect this light. (b) Neither type detects this light. (c) Only type \(\mathrm{H}\) detects the light. (d) Only type \(\mathrm{V}\) detects the light.

Short Answer

Expert verified
The correct answer is (a) Both types detect this light.

Step by step solution

01

Understand Polarized Light

Light waves can vibrate in many directions. Those that are vibrating in one direction, in a plane, are said to be polarized. In this exercise, there's horizontally and vertically polarized light. Horizontally polarized light means that the light is oscillating in the horizontal direction while vertically polarized light is oscillating in the vertical direction.
02

Understand the Cells' Sensitivity to Light Polarization

Given are two types of cells, H and V. Type H is sensitive to horizontally polarized light while Type V is sensitive to vertically polarized light. It means that Type H cells can only detect light waves oscillating horizontally and the same applies for Type V cells that can only detect light waves vibrating vertically.
03

Determine the Cells' Response to the Given Polarized Light

In the first experiment, light with a plane of polarization at 45 degrees to the horizontal shines on the insects. This light is not solely horizontally polarized or vertically polarized, it's a mixture of both as it is angled at 45 degrees from the horizontal. Therefore, both types of cells can detect this light.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Polarization of Light
When diving into the fascinating properties of light, polarization emerges as a critical concept. Imagine light as a wave, much like the ripples across the surface of a pond. Just as those ripples move in one direction, light waves can also 'vibrate' as they travel. Usually, light waves vibrate in multiple directions; however, when light is polarized, it only vibrates in one particular direction, or plane.
This is similar to passing light through a set of blinds—the blinds only allow light to pass through in one direction. The light emerging from the other side is now vibrating in a plane parallel to the slats of the blinds, and we say it is polarized. Depending on the orientation of this 'slat,' the light can be horizontally polarized or vertically polarized, meaning the vibration is exclusively in the horizontal or vertical plane, respectively.

Real-World Applications

From reducing glare in sunglasses to improving image clarity in photography, polarization is widely utilized. It's also crucial in many optical devices, like LCD screens, which employ polarization to control light passage and create images.
Cell Responses to Light Polarization
Just as technology can detect and utilize polarized light, so too can certain organisms. In nature, some species have evolved cells specifically sensitive to the polarization of light. This adaptation opens up a new dimension of visual perception, one that most humans are not equipped to experience directly.
Photoreceptors on these creatures detect the orientation of the light's vibration—whether it is horizontal or vertical. For example, the cells labeled as type H and type V in our exercise are specialized photoreceptors. Type H cells are tuned to respond to horizontally polarized light while Type V cells are geared towards vertically polarized light.

Biology's Ingenious Design

The purpose behind this mechanism is not just for show. It aids in navigation, hunting, and potentially even communication for creatures like bees and certain species of fish, highlighting the incredible adaptability of life on Earth.
Experiment on Light Polarization
To explore this phenomenon, scientists often perform experiments to study how various cells respond to polarized light, much like the scenario presented in the textbook exercise. By exposing the insect eye to light polarized at a 45-degree angle, researchers can observe the responses of both H and V-type cells, since the light will have components of both horizontal and vertical polarization.
In such experiments, it's crucial to calibrate the angles precisely. A light source equipped with filters can adjust the light's polarization, allowing the researchers to illuminate the eye with light at exactly a 45-degree angle relative to the horizontal. This mixed polarization will stimulate both H and V cells, providing valuable insights into how these cells process and differentiate between the two orientations of light vibrations.

Importance of Precision

The accuracy of these experiments contributes significantly to our understanding of visual processing in animals. It supports the broader field of neurobiology, shedding light on potential applications in visual prosthetics, robotic vision systems, and even augmented reality technologies.

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Most popular questions from this chapter

A beam of light strikes a sheet of glass at an angle of \(57.0^{\circ}\) with the normal in air. You observe that red light makes an angle of \(38.1^{\circ}\) with the normal in the glass, while violet light makes a \(36.7^{\circ}\) angle. (a) What are the indexes of refraction of this glass for these colors of light? (b) What are the speeds of red and violet light in the glass?

When linearly polarized light passes through a polarizer, its polarizing axis may be rotated by any angle \(\phi<90^{\circ}\) at the expense of a loss of intensity, as determined by Malus's law. By using sequential polarizers, you can achieve a similar axis rotation but retain greater intensity. In fact, if you use many intermediate polarizers, the polarization axis can be rotated by \(90^{\circ}\) with virtually undiminished intensity. (a) Derive an equation for the resulting intensity if linearly polarized light passes through successive \(N\) polarizers, each with the polarizing axis rotated by an angle \(90^{\circ} / 2 N\) larger than the preceding polarizer. (b) By making a table of the resulting intensity for various values of \(N\), estimate the minimum number \(N\) of polarizers needed so that the light will have its polarization axis rotated by \(90^{\circ}\) while maintaining more than \(90 \%\) of its intensity. (c) Estimate the minimum number of polarizers needed to maintain more than \(95 \%\) and \(99 \%\) intensity.

A ray of light traveling in water is incident on an interface with a flat piece of glass. The wavelength of the light in the water is \(726 \mathrm{nm}\) and its wavelength in the glass is \(544 \mathrm{nm}\). If the ray in water makes an angle of \(56.0^{\circ}\) with respect to the normal to the interface, what angle does the refracted ray in the glass make with respect to the normal?

A layer of liquid sits on top of the horizontal surface of a transparent solid. For a ray traveling in the solid and incident on the interface of the two materials, the critical angle is \(38.7^{\circ}\). (a) For a ray traveling in the solid and reflecting at the interface with the liquid, for what incident angle with respect to the normal is the reflected ray \(100 \%\) polarized? (b) What is the polarizing angle if the ray is traveling in the liquid?

The refractive index of a certain glass is \(1.66 .\) For what incident angle is light reflected from the surface of this glass completely polarized if the glass is immersed in (a) air and (b) water?

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