Sunlight enters a room at an angle of 32 ° above the horizontal and reflects from a small mirror lying flat on the floor. The reflected light forms a spot on a wall that is 2.0 m behind the mirror, as shown in the figure(Figure 1).
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
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**Title:** Understanding Reflection and Angles
**Description:**
In this exercise, you're exploring how sunlight interacts with a mirror to create a reflection on a wall. The scenario is set up as follows:
Sunlight enters a room at an angle of 32° above the horizontal and reflects from a small mirror lying flat on the floor. The reflected light forms a spot on a wall that is 2.0 meters behind the mirror, as illustrated in the accompanying figure.
**Figure Explanation:**
- The diagram shows a side view of the setup.
- A beam of light enters at a 32° angle and strikes the mirror.
- The mirror is positioned horizontally on the floor.
- The reflected light travels to a wall 2 meters away, creating a spot.
- The change in height (\( \Delta y \)) of the spot is indicated if the mirror is slightly tilted.
**Part A:**
If you place a pencil under the edge of the mirror nearer the wall, tilting it upward by 5.0°, calculate how much higher on the wall (\( \Delta y \)) the spot will be.
**Instructions:**
- **Express your answer as a whole number in centimeters.**
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**Interactive Response Box:**
\( \Delta y = \) [Enter your answer] cm
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This explanation helps users understand reflection, angles, and practical application of geometry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81f7b2d1-b7ba-44aa-b963-9939c9f44db6%2Ffa516849-75dc-488e-baf4-e17bdb32ba3c%2Fm779wxf_processed.png&w=3840&q=75)
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