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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

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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: I=360θ1 I = \frac{360}{\theta} - 1
  • In this case, since the mirrors are at a right angle, θ = 90°.

3. Analysis and Detail

  • Substituting θ = 90 into the formula: I=360901=41=3 I = \frac{360}{90} - 1 = 4 - 1 = 3

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.

This problem has been solved

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