What happens to the number of images formed as the angle between two m...
As the angle between two mirrors decreases, the number of images formed increases. This is because a smaller angle results in more reflections within the mirror setup, leading to a higher number of images being visible.
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What happens to the number of images formed as the angle between two m...
Understanding Multiple Reflections in Mirrors
When two mirrors are placed at an angle to each other, they create multiple images of an object placed between them. The angle between the mirrors plays a crucial role in determining the number of images formed.
Number of Images Formula
The number of images (N) formed when two mirrors are inclined at an angle (θ) is given by the formula:
- N = (360/θ) - 1
This formula shows that the number of images depends on the angle between the mirrors.
Effect of Decreasing the Angle
As the angle θ decreases:
- The value of (360/θ) increases because the denominator is getting smaller.
- Consequently, N (the number of images) increases.
Infinite Images at Zero Angle
When the angle approaches zero:
- The mirrors become parallel.
- In this case, an infinite number of reflections occur, creating an infinite series of images.
Conclusion
Thus, as the angle between the two mirrors decreases, the number of images formed increases, and can potentially become infinite if the mirrors are parallel. This phenomenon illustrates the fascinating behavior of light and reflections in optics.
In summary, the correct answer is option 'C': The number of images increases as the angle between two mirrors decreases.