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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:?
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Two plane mirrors are inclined to each other such that a ray of light ...
Introduction:
When two plane mirrors are inclined to each other, a ray of light incident on one mirror and parallel to the other reflects from the second mirror parallel to the first mirror. To determine the angle between the two mirrors, we can use the concept of alternate angles and the law of reflection.
Procedure:
1. Consider two plane mirrors, mirror 1 and mirror 2, inclined to each other.
2. Let the angle between the mirrors be θ.
3. Draw a ray of light, incident on mirror 1, parallel to mirror 2.
4. The incident ray will reflect from mirror 1 and strike mirror 2.
5. According to the law of reflection, the angle of incidence is equal to the angle of reflection.
6. The angle of incidence on mirror 1 is θ.
7. Since the incident ray is parallel to mirror 2, the angle of reflection from mirror 1 is also θ.
8. The reflected ray from mirror 1 will strike mirror 2.
9. The angle between the incident ray and the reflected ray from mirror 1 is θ.
10. This angle is an alternate angle to the angle between mirror 1 and mirror 2.
11. According to the law of reflection, the angle of incidence on mirror 2 is equal to the angle of reflection.
12. Therefore, the angle of reflection from mirror 2 is also θ.
13. The reflected ray from mirror 2 is parallel to mirror 1.
14. The angle between the reflected ray from mirror 1 and the reflected ray from mirror 2 is θ.
15. By the properties of parallel lines, alternate angles are equal.
16. Therefore, the angle between mirror 1 and mirror 2 is θ.
Conclusion:
The angle between the two mirrors is θ, which is equal to the angle of incidence and reflection on each mirror.
When two plane mirrors are inclined to each other, a ray of light incident on one mirror and parallel to the other reflects from the second mirror parallel to the first mirror. To determine the angle between the two mirrors, we can use the concept of alternate angles and the law of reflection.
Procedure:
1. Consider two plane mirrors, mirror 1 and mirror 2, inclined to each other.
2. Let the angle between the mirrors be θ.
3. Draw a ray of light, incident on mirror 1, parallel to mirror 2.
4. The incident ray will reflect from mirror 1 and strike mirror 2.
5. According to the law of reflection, the angle of incidence is equal to the angle of reflection.
6. The angle of incidence on mirror 1 is θ.
7. Since the incident ray is parallel to mirror 2, the angle of reflection from mirror 1 is also θ.
8. The reflected ray from mirror 1 will strike mirror 2.
9. The angle between the incident ray and the reflected ray from mirror 1 is θ.
10. This angle is an alternate angle to the angle between mirror 1 and mirror 2.
11. According to the law of reflection, the angle of incidence on mirror 2 is equal to the angle of reflection.
12. Therefore, the angle of reflection from mirror 2 is also θ.
13. The reflected ray from mirror 2 is parallel to mirror 1.
14. The angle between the reflected ray from mirror 1 and the reflected ray from mirror 2 is θ.
15. By the properties of parallel lines, alternate angles are equal.
16. Therefore, the angle between mirror 1 and mirror 2 is θ.
Conclusion:
The angle between the two mirrors is θ, which is equal to the angle of incidence and reflection on each mirror.
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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:?
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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:?.
Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror and parallel to the second is reflected from the second mirror parallel to the first mirror. Determine the angle between the two mirrors:?.
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