Question
Download Solution PDFThe total number of images formed by two mirrors inclined at 120° asymmetrically to each other is ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Plane Mirror:
- A plane mirror is a mirror with a flat (planar) reflective surface.
The number of images formed when the object is placed between two plane mirrors:
⇒ θ = Angle between the two plane mirrors, and n = number of images formed
- If \(\frac{360}{θ}\) = even number
\(⇒ n=\frac{360}{θ}-1\)
- If \(\frac{360}{θ}\) = odd number and the object lies symmetrically
\(⇒ n=\frac{360}{θ}-1\)
- If \(\frac{360}{θ}\) = odd number and the object lies asymmetrically
\(⇒ n=\frac{360}{θ}\)
- If \(\frac{360}{θ}\) = fraction
⇒ n = only integer part of \(\frac{360}{θ}\)
CALCULATION:
Given that: θ = 120°
Number of images (n) = (360/120) = 3
So option 2 is correct.
Additional Information
- The first mirror was made by German Scientist Justus von Liebig. He coated the plane surface of a piece of ordinary glass with silver metal for making this mirror. Such a mirror is called a silvered glass mirror.
- Concave mirror: If the inner surface of the spherical mirror is the reflecting surface.
- Convex mirror: If the outer surface of the spherical mirror is the reflecting surface.
|
Angle |
Number of images formed (n) |
| 30° | 11 |
|
45° |
7 |
|
60° |
5 |
|
120° |
2 (symmetrically ) |
| 120° | 3 (asymmetrically) |
|
180° |
1 |
|
0° |
Infinite |
Last updated on Jun 13, 2025
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