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State whether the following statement is True or False:
When two plane mirrors are set at right angles to each other with their edges touching, only one image of an object is formed.
- a)False
- b)True
Correct answer is option 'A'. Can you explain this answer?
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State whether the following statement is True or False:When two plane ...
Understanding Reflection in Plane Mirrors
When two plane mirrors are placed at right angles to each other, they create unique conditions for image formation.
Image Formation with Mirrors
- Multiple Images: In this scenario, two mirrors positioned at 90 degrees will produce multiple reflections of an object.
- Angle of Reflection: The angle between the mirrors (90 degrees) plays a crucial role in determining the number of images. The formula to calculate the number of images formed by mirrors is given by (360/θ) - 1, where θ is the angle between the mirrors.
- Calculation: For mirrors at right angles (θ = 90 degrees):
- (360/90) - 1 = 4 - 1 = 3 images.
Hence, three images of the object will be seen.
Visualizing the Scenario
- Arrangement: Imagine placing an object between two mirrors that meet at a right angle. The light rays from the object strike the mirrors, reflecting back and forth.
- Resulting Images: Each reflection creates an image, and due to the positioning, you can see multiple distinct images instead of just one.
Conclusion
Thus, the statement that only one image is formed when two mirrors are at right angles is False. Instead, multiple images are visible, confirming that the correct answer is option 'A'.
When two plane mirrors are placed at right angles to each other, they create unique conditions for image formation.
Image Formation with Mirrors
- Multiple Images: In this scenario, two mirrors positioned at 90 degrees will produce multiple reflections of an object.
- Angle of Reflection: The angle between the mirrors (90 degrees) plays a crucial role in determining the number of images. The formula to calculate the number of images formed by mirrors is given by (360/θ) - 1, where θ is the angle between the mirrors.
- Calculation: For mirrors at right angles (θ = 90 degrees):
- (360/90) - 1 = 4 - 1 = 3 images.
Hence, three images of the object will be seen.
Visualizing the Scenario
- Arrangement: Imagine placing an object between two mirrors that meet at a right angle. The light rays from the object strike the mirrors, reflecting back and forth.
- Resulting Images: Each reflection creates an image, and due to the positioning, you can see multiple distinct images instead of just one.
Conclusion
Thus, the statement that only one image is formed when two mirrors are at right angles is False. Instead, multiple images are visible, confirming that the correct answer is option 'A'.
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State whether the following statement is True or False:When two plane ...
When two plane mirrors are set at right angles to each other:
- Multiple images of an object are formed.
- This occurs because light reflects off one mirror and then off the other, leading to the formation of additional images.
- The total number of images formed is determined by the formula:
- Number of images = 360° / Angle between mirrors − 1
- For a 90° angle: Number of images = 360° / 90°− 1 = 4−1=3
- Therefore, three images are formed (not just one).
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