/*! 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 44 A baby-food jar full of air and ... [FREE SOLUTION] | 91Ó°ÊÓ

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A baby-food jar full of air and immersed in water is a diverging lens. Use a fish tank with glass sides, or use an ordinary pan with a mirror to change a vertically downward flashlight beam into a horizontal beam. Put a little milk in the water so you can see the beam. A good pencil-sized beam is obtained from a flashlight covered by an opaque piece of cardboard with an off-center hole. (The flashlight bulb is usually irregular at the tip. Also, you don't want the direct light from the bulb, which falls off as the inverse square of distance, but the parallel beam from the parabolic reflector.) You can study lenses of air and mineral oil and glass using a suspension of milk in water to see the beam.

Short Answer

Expert verified
Immerse an air-filled jar in a milk-water tank and use a flashlight to see the horizontal beam created.

Step by step solution

01

Understand the Context

The exercise involves using a baby-food jar full of air immersed in water as a lens. The setup is designed to transform a vertical light beam from a flashlight into a horizontal beam using a diverging lens effect provided by the air inside the jar.
02

Setting Up the Experiment

Prepare a fish tank or a transparent pan. Fill it with water and add a few drops of milk to create a suspension. This will help you visually track the light beam as it travels through the water.
03

Prepare the Light Source

Take a flashlight and cover its head with an opaque piece of cardboard, leaving an off-center hole. This setup will focus the light into a pencil-sized beam, eliminating direct light from the bulb and using the parabolic reflector to create parallel beams.
04

Observe Light Refraction

Submerge the baby-food jar (diverging lens) in the water. Direct the flashlight beam vertically downward at the jar. Notice that the air inside the jar refracts the light, changing its direction to become horizontal as it exits the jar and travels through the water.
05

Experiment with Different Lenses

To expand on this exercise, try replacing the air in the jar with mineral oil or any other transparent material to observe how the change in refractive index affects the bending of light. Again, use the milk suspension to make the path of the beam visible.

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Key Concepts

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

Refraction of Light
The phenomenon of refraction occurs when light changes direction as it passes from one medium into another. This change in direction is due to the variation in the speed of light in different media. When a light beam enters a new medium at an angle, it slows down or speeds up, causing it to bend. Think of a straw appearing bent when it sits in a glass of water. This is a simple example of light refraction, where the light changes direction as it moves from air to water. In the exercise you are working on, refraction is used to redirect a light beam traveling vertically into a horizontal path. When the diverging lens effect of an air-filled jar submersed in water is used, the path of the light is altered due to this bending effect. Refraction of light is an essential principle that plays a crucial role in various optical tools and experiments.
Optical Experiments
Optical experiments, like the one described in the exercise, help us explore how lenses and other optical devices manipulate light. Such experiments are integral to understanding the physics of light behavior. In this particular task, the focus is on using a simple setup—like a fish tank or a pan—paired with a flashlight to visualize the light's path. Adding milk to the water creates a suspension that scatters some of the light, making the beam visible to our eyes. This is straightforward yet effective. Conducting these experiments can help build foundational knowledge about light manipulation devices. You can see firsthand how light behaves with different setups. You just need a few basic materials to conduct an optical experiment at home, allowing you to visualize scientific concepts in action.
Refractive Index
The refractive index quantifies how much light bends when it enters a new medium. More technically, it is the ratio of the speed of light in a vacuum to its speed in the given medium. Each material has its own refractive index, which dictates how strongly it refracts light. For instance, water has a refractive index of about 1.33, meaning light slows down when it enters water compared to air. In the exercise, experimenting with different materials, like air and mineral oil in the jar, allows you to see how the refractive index impacts the bending of light. If you replace the air inside the jar with mineral oil, you'll notice a different degree of bending due to the change in refractive index.
  • This concept is crucial in designing lenses and optical devices.
  • Understanding refractive indices can help in everything from creating eyeglasses to advanced scientific instruments.
Light Beam Manipulation
Manipulating a light beam involves controlling its direction or path, often using lenses or other devices. In the given setup, you're utilizing a diverging lens effect to alter a light beam's path from vertical to horizontal. This manipulation is achieved by the unique properties of the materials involved. Covering the flashlight with an opaque cardboard, except for an off-center hole, helps in forming a narrow, focused beam. This setup uses the concept of a parabolic reflector inside the flashlight to create a parallel light beam. Once you direct this beam onto the diverging lens (the air-filled jar), it spreads out and changes direction. Light beam manipulation is key in numerous applications, from simple experiments to complex optical technologies like microscopes and cameras.

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Most popular questions from this chapter

Which side has the scratches? One side of the plastic of your diffraction grating is smooth; the other side has the scratches. You can find out which side has the scratches by looking through it at a white source after rubbing one side of the grating with an oily finger; then clean it and try the other side. What is the explanation?

Near field and far field. How far away should you be from a double slit of slit spacing \(0.1 \mathrm{~mm}\) irradiated with visible light in order to use the far-field approximation without making use of a lens? How far should you be from two microwave antennas having spacing \(10 \mathrm{~cm}\) and emitting \(3-\mathrm{cm}\) microwaves to use the far-field approximation?

A diffraction-limited laser beam of diameter \(1 \mathrm{~cm}\) is pointed at the moon. What is the diameter of the area illuminated on the moon? (The moon is \(240,000 \mathrm{mi}\) away.) Take the light wavelength to be \(6328 \AA\). Neglect scattering in the earth's atmosphere.

When you put your face under water and try looking without a face mask, everything looks blurred, because the change of index of refraction in going from water to eye is not very great. As a simplification, assume there is no change in index. Also assume your eye lens has very little effect, as if all the focusing were done at the first air-to-eye interface. (This is a crude approximation. Actually, you can see underwater to same extent.) Assume the focal length of that first surface is \(3 \mathrm{~cm}\), and that a parallel beam of light in air is brought to a focus at the retina. When you look underwater, you lose that focusing action. Design glasses that can be worn underwater so as to enable you to see clearly. Use glass with index of refraction 1.5. Show that if the focal length when used underwater is \(3 \mathrm{~cm}\), then the focal length when used in air is about \(1 \mathrm{~cm} .\) If one of these glass lenses is used as an ordinary magnifying glass what is its magnification? Suppose you use an ordinary glass marble for the lens. You want to form an image (of a parallel beam in water) \(3 \mathrm{~cm}\) behind the rear surface of the marble. What should be the diameter of the marble?

Pour some table salt on a wet knife or spoon (one that you don't mind ruining). Set the knife in the flame of a gas stove. Look at the yellow flame through your diffraction grating (this is easiest at night in a darkened room). Notice that the first-order (and higher-order) images of the yellow sodium flame are as sharp and clear as the zeroth-order "direct" image. That is because the yellow light is a "spectral line" having narrow bandwidth. (Actually the yellow light from sodium is a "doublet" of two lines with wavelengths 5890 and \(5896 \AA\).) Now look at a candle. In zeroth order, it does not look terribly different from the sodium flame; they are both yellow. But in the first-order diffraction image, the candle is very much spread out in color, whereas the sodium remains sharp. The "yellow" of the candle, which is due to hot particles of carbon, has a wavelength spectrum extending over (and beyond) the entire visible range. Here are other convenient sources of sharp spectral lines; look at them through your grating: Mercury vapor: Fluorescent lamps, mercury-vapor street lights, sunlamps. (A sunlamp is convenient in that it screws directly into an ordinary 110 -volt AC socket. It is probably the cheapest source of mercury-vapor spectral lines; the cost is about \(\$ 10 .\).) Neon: Many advertising signs. Neon has a profusion of lines; you see "many signs." A cheap broad monochromatic source is a G.E. bulb NE-34 which screws directly into a 110 -volt AC socket (the cost is about \(\$ 1.60)\). Others are a "circuit continuity tester," which plugs into any wall receptacle and which costs about \(\$ 1\) (at a hardware store), and a neon "night light." Strontium: Strontium chloride salt (available at a chemical supply house for about 25 cents \(/ \mathrm{oz}\) ); dissolve a little in a few drops of water and put it in the gas flame on your ruined spoon. The wavelength of the red line is a famous length standard. Copper: Copper sulfate; availability and technique as for strontium chloride. It gives a beautiful green color. Hydrocarbon: Look at your gas flame in the first-order spectrum. There are a sharp, clear blue image and a sharp, clear green image. The "blue" color of the flame is therefore due to one or more almost monochromatic spectral lines.

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