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A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him?
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A person 1.6m tall is standing at the center bw two walls 3 metres hig...
Understanding the Problem
To determine the minimum size of a plane mirror needed for a person 1.6m tall to see the full height of a wall 3m high behind him, we need to consider the principles of reflection and line of sight.
Height of the Wall
- The wall height is 3m.
- The person's height is 1.6m.
Reflection Principles
- The top of the wall reflects light downwards, and the person must see this reflection.
- The mirror must be positioned to capture the light rays from the top of the wall.
Calculating Mirror Size
- To see the full height of the wall, the person needs to see the top of the wall and the reflection of their own height.
- The distance from the person's eye level to the top of the wall is crucial.
Eye Level Calculation
- Assuming the person's eye level is about 10cm below his height, it will be approximately 1.5m.
Minimum Mirror Size
- For the person to see the top of the 3m wall, the required mirror height can be calculated as follows:
- The minimum height of the mirror should be at least 1.5m to reflect the top of the wall.
- However, because reflections are only visible in half the height of the mirror, the required height of the mirror should be 1.5m / 2 = 0.75m.
Conclusion
- The minimum size of the plane mirror fixed on the wall in front of the person should be 0.75m in height.
- To ensure visibility, the mirror should be placed at a suitable height to capture reflections effectively.
To determine the minimum size of a plane mirror needed for a person 1.6m tall to see the full height of a wall 3m high behind him, we need to consider the principles of reflection and line of sight.
Height of the Wall
- The wall height is 3m.
- The person's height is 1.6m.
Reflection Principles
- The top of the wall reflects light downwards, and the person must see this reflection.
- The mirror must be positioned to capture the light rays from the top of the wall.
Calculating Mirror Size
- To see the full height of the wall, the person needs to see the top of the wall and the reflection of their own height.
- The distance from the person's eye level to the top of the wall is crucial.
Eye Level Calculation
- Assuming the person's eye level is about 10cm below his height, it will be approximately 1.5m.
Minimum Mirror Size
- For the person to see the top of the 3m wall, the required mirror height can be calculated as follows:
- The minimum height of the mirror should be at least 1.5m to reflect the top of the wall.
- However, because reflections are only visible in half the height of the mirror, the required height of the mirror should be 1.5m / 2 = 0.75m.
Conclusion
- The minimum size of the plane mirror fixed on the wall in front of the person should be 0.75m in height.
- To ensure visibility, the mirror should be placed at a suitable height to capture reflections effectively.
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A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him?
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A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him?.
A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person 1.6m tall is standing at the center bw two walls 3 metres high.what is the minimum size of plane mirror fixed on the wall in front of him if he is to see the full hieght of the walk behind him?.
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