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A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?
- a)5
- b)6
- c)7
- d)8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A person is in a room whose ceiling and two adjacent walls are mirrors...
The number of images formed when two mirrors are inclined to each other is given by :
n=(360/θ -1)
here θ= 90°[since walls are perpendicular]
so, number of images=n=360/90-1
=4-1
=3
These 3 images are formed by a combination of two adjacent walls with the object itself acts as objects for the ceiling mirror. So totally 4 images are formed.
Hence total number of images formed are 4+3= 7
n=(360/θ -1)
here θ= 90°[since walls are perpendicular]
so, number of images=n=360/90-1
=4-1
=3
These 3 images are formed by a combination of two adjacent walls with the object itself acts as objects for the ceiling mirror. So totally 4 images are formed.
Hence total number of images formed are 4+3= 7
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A person is in a room whose ceiling and two adjacent walls are mirrors...
Solution:
When a person stands in front of a mirror, an image is formed due to the reflection of light. In this case, the person is surrounded by three mirrors - the ceiling and two adjacent walls.
Let's consider each mirror one by one and count the number of images formed.
1. Ceiling Mirror:
When the person looks up, an image of the person's head is formed on the ceiling mirror. This image is reflected on the two adjacent walls as well.
Total images formed due to the ceiling mirror = 1 (head image on the ceiling) + 2 (side images on the walls) = 3
2. Wall Mirror 1:
When the person looks at this mirror, an image is formed on it. This image is reflected on the ceiling and the other wall mirror.
Total images formed due to wall mirror 1 = 1 (person's image on the mirror) + 1 (reflection on the ceiling) + 1 (reflection on the other wall mirror) = 3
3. Wall Mirror 2:
This mirror is adjacent to the first wall mirror. When the person looks at this mirror, an image is formed on it. This image is reflected on the ceiling and the other wall mirror.
Total images formed due to wall mirror 2 = 1 (person's image on the mirror) + 1 (reflection on the ceiling) + 1 (reflection on the other wall mirror) = 3
Therefore, the total number of images formed = 3 + 3 + 3 = 7
Hence, the correct answer is option C) 7.
When a person stands in front of a mirror, an image is formed due to the reflection of light. In this case, the person is surrounded by three mirrors - the ceiling and two adjacent walls.
Let's consider each mirror one by one and count the number of images formed.
1. Ceiling Mirror:
When the person looks up, an image of the person's head is formed on the ceiling mirror. This image is reflected on the two adjacent walls as well.
Total images formed due to the ceiling mirror = 1 (head image on the ceiling) + 2 (side images on the walls) = 3
2. Wall Mirror 1:
When the person looks at this mirror, an image is formed on it. This image is reflected on the ceiling and the other wall mirror.
Total images formed due to wall mirror 1 = 1 (person's image on the mirror) + 1 (reflection on the ceiling) + 1 (reflection on the other wall mirror) = 3
3. Wall Mirror 2:
This mirror is adjacent to the first wall mirror. When the person looks at this mirror, an image is formed on it. This image is reflected on the ceiling and the other wall mirror.
Total images formed due to wall mirror 2 = 1 (person's image on the mirror) + 1 (reflection on the ceiling) + 1 (reflection on the other wall mirror) = 3
Therefore, the total number of images formed = 3 + 3 + 3 = 7
Hence, the correct answer is option C) 7.
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A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed ?a)5b)6c)7d)8Correct answer is option 'C'. Can you explain this answer?.
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