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Chapter 31: Problem 11

A block of ice contains a hollow, air-filled space in the shape of a double- convex lens. Describe the optical behavior of this space.

Short Answer

Expert verified
The hollow, air-filled space in the ice block, shaped like a double-convex lens, will behave optically as a converging lens because the surrounding ice has a greater refractive index than air. Light rays entering and exiting this lens bend due to the change in speed from the change in medium (from ice to air), and these bent rays will converge, mimicking the behavior of a converging lens.

Step by step solution

01

Identify the optical device

Identify the optical behavior of the air-filled space. In this case, the double-convex lens formed by the air-filled space would exhibit the properties of a converging lens due to the fact that it is surrounded by a medium (ice) which has a greater refractive index.
02

Understand behavior of converging lens

Recall the basic properties of a converging lens. They collect light from a source and refract it such that the light rays converge at a point known as the focal point. In the case of parallel light rays, such as sunlight, they would refract and converge to a focus at the principle focus of the lens.
03

Analyze the effect of medium change

Contemplate the effect on the light rays due to the change in medium (from ice to air and then back to ice). As light enters the air-filled space from the ice, it's speed increases due to air having a smaller refractive index than ice and this causes the light to bend away from the normal because of Snell's law. Similarly, as the light exits the lens, it goes from air to ice, decreasing in speed, causing it to bend towards the normal. This bending towards and then away from the normal causes the light to converge as in a double convex lens.

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