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Given that frogs are nearsighted in air, what is most likely to be true about their vision in water? A. They are even more nearsighted; because water has a higher index of refraction than air, a frog's ability to focus light increases in water. B. They are less nearsighted because the cornea is less effective at refracting light in water than in air. C. Their vision is no different because only structures that are internal to the eye can affect the eye's ability to focus. D. The images projected on the retina are no longer inverted because the eye in water functions as a diverging lens rather than a converging lens.

Short Answer

Expert verified
Option B: Frogs are less nearsighted in water.

Step by step solution

01

Understanding Nearsightedness

Nearsightedness, or myopia, occurs when light entering the eye focuses in front of the retina, making distant objects appear blurry. This condition is typically corrected in humans with lenses that adjust the focal point onto the retina.
02

Exploring Refraction

Refraction is the bending of light as it passes from one medium to another, such as from air to water. The amount light is bent is dependent on the refractive index of the medium; water has a higher refractive index than air.
03

Analyzing Eye Structure

A frog's eye, similar to human eyes, includes a cornea which significantly contributes to focusing light. The effectiveness of this refraction is different in air compared to water due to the change in refractive index.
04

Impact of Water on Refraction

In water, the refractive power of the cornea is reduced because the refractive index of water is closer to that of the cornea than air. This means the cornea bends light less effectively in water than in air.
05

Evaluating Options

Given that the cornea's refractive power decreases in water, a frog's eye would focus light further back, potentially moving the focal point closer to the retina and slightly improving long-distance vision. Thus, frogs may be less nearsighted in water compared to air. This makes option B most likely correct.

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Key Concepts

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

Nearsightedness
Nearsightedness, also known as myopia, happens when light entering the eye focuses in front of the retina instead of directly on it. This causes distant objects to appear blurry, while nearby objects remain clear. In humans, this condition is often improved with corrective lenses that adjust the focal point so it coincides with the retina. This helps in creating a clear image.
However, in animals like frogs, being nearsighted can be a natural adaptation. It might help them catch prey close up in their natural environments. When a nearsighted frog is above water, its cornea refracts light from the air. This might not focus perfectly on the retina, much like the condition experienced by nearsighted people.
Understanding myopia helps us deduce how different environments, such as air and water, can influence the vision of animals that are adapted to swimming. Their visual acuity is tailored to suit their ecological needs, rather than aiming for perfect sight across all scenarios.
Refractive Index
The refractive index is a measure of how much light bends as it passes from one medium to another, like from air into water. It is a fundamental property that defines how light behaves at the boundary between different materials.
In the case of water and air, water has a higher refractive index. This means light bends more when it enters water from air, affecting how objects are perceived through layers of different media. For instance, a straw appears bent when partially submerged in water due to this bending effect.
The impact of the refractive index is crucial in understanding animal vision, particularly how their eyes adapt to environmental changes. In the context of a frog's vision underwater, the change in refractive index between water and the frog's cornea means less bending is necessary to focus light on the retina. This can result in improved distance vision underwater compared to in the air, as the cornea adjusts its function.
Animal Vision
The vision of animals, including frogs, has evolved to match their specific living conditions. Frogs, which typically move between aquatic and terrestrial environments, have eyes designed to function effectively both in water and on land.
When analyzing their vision underwater, it's important to consider how their eyes adapt to these different optical media. Frogs generally have a spherical lens that assists in compensating for the reduced refractive power of their cornea in water. Consequently, their underwater vision might be clearer for objects that would otherwise be blurry on land.
Different animals have their own unique adaptations. For example, fish and aquatic mammals are naturally adapted to seeing well underwater, whereas land mammals have adaptations that favor air environments. Frogs exemplify a versatile approach, managing to have sufficient vision abilities in both media due to their adaptable eye structure.
The understanding of these biological adjustments helps explain the evolutionary adaptations that enable different species to thrive in their habitats.

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Most popular questions from this chapter

The focal length of an \(f / 4\) camera lens is \(300 \mathrm{~mm}\). (a) What is the aperture diameter of the lens? (b) If the correct exposure of a certain scene is \(\frac{1}{250} \mathrm{~s}\) at \(f / 4,\) what is the correct exposure at \(f / 8 ?\)

The objective lens and the eyepiece of a microscope are \(16.5 \mathrm{~cm}\) apart. The objective lens has a magnification of \(62 \times,\) and the eyepiece has a magnification of \(10 \times .\) Assume that the image of the objective lies very close to the focal point of the eyepiece. Calculate (a) the overall magnification of the microscope and (b) the focal length of each lens.

Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). A certain person can see distant objects well, but his near point is \(45.0 \mathrm{~cm}\) from his eyes instead of the usual \(25.0 \mathrm{~cm}\). (a) Is this person nearsighted or farsighted? (b) What type of lens (converging or diverging) is needed to correct his vision? (c) If the correcting lenses will be contact lenses, what focal-length lens is needed and what is its power in diopters?

While Galileo did not invent the telescope, he was the first known person to use it astronomically, beginning around \(1609 .\) Five of his original lenses have survived (although he did work with others). Two of these have focal lengths of 1710 \(\mathrm{mm}\) and \(980 \mathrm{~mm}\). (a) For greatest magnification, which of these two lenses should be the eyepiece and which the objective? How long would this telescope be between the two lenses? (b) What is the greatest angular magnification that Galileo could have obtained with these lenses? (Note: Galileo actually obtained magnifications up to about \(30 \times\), but by using a diverging lens as the eyepiece.) (c) The moon subtends an angle of \(0.5^{\circ}\) when viewed with the naked eye. What angle would it subtend when viewed through this telescope (assuming that all of it could be seen)?

A \(135 \mathrm{~mm}\) telephoto lens for a \(35 \mathrm{~mm}\) camera has \(f\) -stops that range from \(f / 2.8\) to \(f / 22 .\) (a) What are the smallest and largest aperture diameters for this lens? What is the diameter at \(f / 11 ?\) (b) If a \(50 \mathrm{~mm}\) lens had the same \(f\) -stops as the telephoto lens, what would be the smallest and largest aperture diameters for that lens? (c) At a given shutter speed, what is the ratio of the greatest to the smallest light intensity of the film image? (d) If the shutter speed for correct exposure at \(f / 22\) is \(1 / 30 \mathrm{~s},\) what shutter speed is needed at \(f / 2.8 ?\) Calculate \(m_{1}\) and \(M_{2}\) for the two lenses and do not make the approximation that leads to Equation 25.4

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