Geometric Optics: Apparent Depth and Flattened Sun

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Questions and Answers

Why does a pencil submerged in water appear bent when viewed from above?

  • The water magnifies the pencil, making it appear distorted.
  • The pencil is physically bending due to water pressure.
  • The color of the pencil changes in water, altering its perceived shape.
  • Light rays from the submerged part of the pencil are refracted, and the brain assumes light travels in straight lines. (correct)

Apparent depth causes objects underwater to appear deeper than their actual depth.

False (B)

Define 'apparent depth' in the context of light refraction.

Apparent depth is the perceived depth of an object submerged in a transparent medium, which differs from its actual depth due to refraction.

The phenomenon where light bends as it passes from one medium to another is called ___________.

<p>refraction</p> Signup and view all the answers

Why does the setting Sun appear flattened when it is near the horizon?

<p>Light from the bottom of the Sun is refracted more than light from the top due to varying air density. (C)</p> Signup and view all the answers

The density of air is uniform throughout the Earth's atmosphere, which contributes to the uniform refraction of sunlight.

<p>False (B)</p> Signup and view all the answers

Explain why light from the bottom of the Sun is refracted more than light from the top when the Sun is near the horizon.

<p>Air is denser near the Earth's surface, leading to greater refraction of light rays from the bottom of the Sun compared to the top.</p> Signup and view all the answers

The virtual image of the sky on a highway, which appears as a pool of water, is known as a ___________.

<p>mirage</p> Signup and view all the answers

Match the following phenomena with their primary cause:

<p>Apparent Depth = Refraction of light at the interface of two media Flattened Sun = Differential refraction due to varying air density Mirage = Refraction and total internal reflection in air layers of different temperatures Rainbow = Refraction and internal reflection in water droplets</p> Signup and view all the answers

What causes shimmering on the surface of a lake at night when the Moon is visible?

<p>Light being refracted as it passes through air of different temperatures. (A)</p> Signup and view all the answers

Shimmering occurs because light travels at the same speed through all layers of air near a lake surface.

<p>False (B)</p> Signup and view all the answers

Explain why total internal reflection occurs in the lowest warm air layer in the context of shimmering on a lake.

<p>Light rays bend farther and farther away from the normal as their speed increases in the warmest air layer, leading to total internal reflection.</p> Signup and view all the answers

The separation of white light into its constituent colors is called ___________.

<p>dispersion</p> Signup and view all the answers

Why does violet light refract more than red light when it enters a glass prism?

<p>Violet light slows down more than red light when entering the prism. (C)</p> Signup and view all the answers

In dispersion, red light bends more towards the normal than violet light when passing through a prism.

<p>False (B)</p> Signup and view all the answers

Briefly describe the role of dispersion in the formation of a rainbow.

<p>Dispersion separates the colors of sunlight as it enters the raindrop, contributing to the rainbow's spectrum.</p> Signup and view all the answers

Rainbows are formed through a combination of ___________, internal reflection, and refraction in water droplets.

<p>dispersion</p> Signup and view all the answers

What is the second step in the formation of a rainbow after light enters a raindrop?

<p>Partial internal reflection when light hits the back of the raindrop. (A)</p> Signup and view all the answers

A rainbow is a real image that can be touched and exists in a specific location in the sky.

<p>False (B)</p> Signup and view all the answers

Explain why you can only see a rainbow when the Sun is behind you.

<p>The geometry of rainbow formation requires the Sun to be behind the observer so that light can refract and reflect within raindrops before reaching the eye.</p> Signup and view all the answers

Which of the following phenomena involves both refraction and total internal reflection?

<p>Mirages on a highway (C)</p> Signup and view all the answers

Dispersion occurs because all colors of visible light travel at the same speed through a glass prism.

<p>False (B)</p> Signup and view all the answers

Describe how the angle of incidence affects the degree of refraction of light rays.

<p>A greater angle of incidence generally results in a greater degree of refraction, as the change in direction is more pronounced.</p> Signup and view all the answers

Objects underwater appear to be at a ___________ depth than they actually are due to refraction.

<p>shallower</p> Signup and view all the answers

Match the following terms with their descriptions:

<p>Refraction = The bending of light as it passes from one medium to another Dispersion = The separation of white light into its constituent colors Total Internal Reflection = The reflection of light back into the original medium when it strikes a boundary at an angle greater than the critical angle Apparent Depth = The perceived depth of an object submerged in a transparent medium</p> Signup and view all the answers

Which atmospheric condition is most conducive to the formation of a mirage?

<p>Cool air layer above a warmer air layer (D)</p> Signup and view all the answers

The 'belt of Venus' is caused by the same principles that create a rainbow.

<p>False (B)</p> Signup and view all the answers

Why do rainbows always appear at an angle of approximately 42 degrees relative to the observer?

<p>Rainbows predominantly appear at 42 degrees due to the combination of refraction, internal reflection, and dispersion within the water droplets, which causes the most intense light to be directed at this angle.</p> Signup and view all the answers

In the formation of a rainbow, partial internal reflection occurs when light hits the ___________ of the raindrop.

<p>back</p> Signup and view all the answers

Which color of light experiences the least refraction when passing through a prism?

<p>Red (C)</p> Signup and view all the answers

Flashcards

Apparent Depth

The depth an object appears to be at due to the refraction of light in a transparent medium.

Mirage

A virtual image formed by refraction and total internal reflection in Earth's atmosphere.

Dispersion

The separation of white light into its constituent colors.

Apparent Depth (underwater)

The illusion of objects appearing closer underwater due to light refraction.

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"Flattened" Sun

The effect of the sun appearing flattened at sunset due to refraction.

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Shimmering (on water)

An shimmering effect caused by light refracting through varying air temperatures.

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Rainbow formation

An optical phenomenon caused by refraction, internal reflection, and dispersion in water droplets.

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Study Notes

  • Geometric optics explains many interesting light phenomena.

Apparent Depth

  • Objects underwater appear nearer to the surface than reality.
  • This is an optical illusion related to how our brains perceive light.
  • The brain assumes light travels in a straight line.
  • Light from a submerged object is refracted.
  • The brain projects the light rays backward in a straight line.
  • This creates a virtual image higher than the object's actual position.
  • The apparent depth is the distance from the water surface to the virtual image.
  • Legs of people appear shorter in water because light bends.

The "Flattened" Sun

  • Sunsets offer a unique view of refraction effects.
  • The Sun appears flattened near the horizon.
  • Light from the bottom of the Sun refracts more than light from the top.
  • Air is denser near Earth's surface, increasing the light bending effect.
  • Light rays from the bottom have a greater angle of incidence.
  • This causes the Sun's flattened appearance.

Water on Pavement – The Mirage

  • A mirage is a highway "pool of water" that disappears as you approach.
  • Mirages happen when light travels from cool air into warmer air.
  • Air's refractive index decreases as it warms, bending light further from the normal.
  • Total internal reflection occurs in the hottest (lowest) air layer.
  • The light ray travels to the cooler layer and refracts toward the normal.
  • The curved light forms a virtual image on the highway, appearing to be a pool of water.
  • This "water" is actually a virtual image of the sky.

Shimmering

  • Shimmering is often seen on a lake with the moon out.
  • Shimmering results from changing temperatures.
  • Moonlight passes through air layers of different temperatures.
  • Light bends toward the normal in the coldest air.
  • Light travels downward and speeds up towards the warmest air.
  • The light ray continues changing and total internal reflection occurs.
  • This results in many virtual images of the Moon.

The Rainbow

  • Dispersion separates white light into a color spectrum.
  • Dispersion happens as each color travels at slightly different speeds in a glass prism.
  • Violet light slows more than red light passing into the prism.
  • Violet light is refracted more than other colors, while red is refracted the least.
  • Rainbows are optical phenomena formed by water droplets in Earth's atmosphere.
  • The process includes dispersion and refraction with light entering the raindrop and going from air into water.
  • Partial internal reflection happens when light hits the back of the raindrop.
  • Light exits the raindrop which undergoes refraction as it passes from water into air.
  • Your brain projects these light rays backward and makes a virtual image of a spectrum: a rainbow.
  • Rainbows are only visible when the Sun is behind you.

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