From the figure provided, how many images of the ball are visible in the mirrors if two plane mirrors form a right angle? 1 4 3 2
Question
From the figure provided, how many images of the ball are visible in the mirrors if two plane mirrors form a right angle?
1
4
3
2
Solution
To determine the number of images visible in a scenario where two plane mirrors form a right angle, we can follow a systematic approach.
1. Break Down the Problem
- Recognize that two plane mirrors at a right angle (90 degrees) will create images of any object placed between them.
- We need to find how many distinct images of the ball can be formed due to the reflections in the mirrors.
2. Relevant Concepts
- The formula for the number of images (I) formed by two mirrors at an angle (θ) is given by:
- In this case, since the mirrors are at a right angle, θ = 90°.
3. Analysis and Detail
- Substituting θ = 90 into the formula:
4. Verify and Summarize
- The calculations indicate that three images should be formed.
- We verify that each mirror reflects the ball, which creates multiple reflections leading to a total of three visible images.
Final Answer
Therefore, the final result is 3.
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