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Two plane mirrors are kept at the following angles one by one. In which case is the number of images formed the maximum?
  • a)
    30º 
  • b)
    45º
  • c)
    60º
  • d)
    75º
Correct answer is option 'A'. Can you explain this answer?
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Explanation:

Angle between two mirrors:
- When two plane mirrors are kept at an angle to each other, the number of images formed is given by the formula: Number of images = 360° / (Angle between mirrors) - 1

Calculating number of images:
- For angle of 30°, Number of images = 360° / 30° - 1 = 12 - 1 = 11
- For angle of 45°, Number of images = 360° / 45° - 1 = 8 - 1 = 7
- For angle of 60°, Number of images = 360° / 60° - 1 = 6 - 1 = 5
- For angle of 75°, Number of images = 360° / 75° - 1 = 4 - 1 = 3

Maximum number of images:
- From the calculations above, it is clear that the maximum number of images is formed when the angle between the mirrors is minimum.
- Therefore, in this case, the maximum number of images is formed when the angle between the mirrors is 30°. Hence, option 'A' is correct.
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