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Question bank: Geometric Optics: Reflection

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Question 1:

Medium

Geometric Optics: Reflection
Question 2:

Medium

An observer positioned 1.5 m away from a vertical flat mirror perceives their reflected image at a distance of 0.5 m from the mirror. Considering light as a beam of rays parallel to the mirror and the air's refractive index is approximately 1, calculate the angle that the incident light forms with the mirror and explain, based on the principle of reflection, why the formed image appears to be at a different distance from the mirror than where the observer is. In your calculation, use the trigonometric relationship sin(θ) = opposite side / hypotenuse and the fact that for an angle of incidence θ, the angle of reflection is also θ.
Geometric Optics: Reflection
Question 3:

Medium

A monochromatic ray of light strikes a flat surface of a smooth mirror, forming a 30-degree angle with the normal. Considering the reflection index of light in the air as 1 and knowing that, according to the Law of Reflection, the angle of reflection is equal to the angle of incidence, determine: 1) The angle of reflection formed by the ray of light with the mirror surface. 2) If the mirror is rotated 10 degrees around the point of incidence of the ray of light, what will be the new angle of reflection formed with the normal? Justify your answer based on the principles of Geometric Optics and the Law of Reflection.
Geometric Optics: Reflection
Question 4:

Easy

When the surface is irregular, the phenomenon known as diffuse reflection occurs, in which the incident light is scattered in various different directions, according to the characteristics of the surface. What is the main reason for this behavior?
Geometric Optics: Reflection
Question 5:

Medium

During a visit to a science museum, the students were introduced to a room called 'mirror room', where several mirrored surfaces are arranged at different angles, creating a myriad of reflections. In the center of the room, there is a beam of light that passes through all the mirrors, creating an impressive visual effect. On one of the mirrors, the beam of light strikes at an angle of 30° with the normal to the surface of the mirror. Considering the phenomenon of light reflection in physics, answer: (a) What is the angle of reflection of this beam of light when it reaches the mirror surface? (b) If a second mirror is positioned so that the beam of light reflects again, forming an angle of 45° with the normal of this second mirror, what will be the angle of incidence of the light on this second mirror? (c) If the beam of light, after the two reflections, is heading towards a screen located 1.5 meters from the last reflection, and the light hits this screen at a height of 0.75 meters relative to the reflection point, what is the horizontal distance between the point of the second reflection and the area where the light hits the screen?
Geometric Optics: Reflection
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