Correct Answer - Option 3 : 5 images
The correct answer is option 3) i.e. 5 images
CONCEPT:
- The image formed by two inclined mirrors:
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The image formed by one mirror acts as the object for the second mirror. This reflection phenomenon continues till no more reflection can occur on any mirror.
- The object and the images formed by two inclined mirrors lie on the circumference of a circle whose center lies at a point of intersection of the two mirrors and radius equal to the distance of the object from the point of intersection.
- The number of images formed depends on the angle (θ) between two mirrors:
First, we find the value of n' = \(\frac{360^{∘}}{θ^{∘}}\)
Case 1 - If n' is odd
- When the object is placed asymmetrically between the mirrors
Number of images, n = \(\frac{360^{∘}}{θ^{∘}}\)
- When the object is placed symmetrically between the mirrors
Number of images, n = \(\frac{360^{∘}}{θ^{∘}}\) - 1
Case 2 - If n' is even
Number of images, n = \(\frac{360^{∘}}{θ^{∘}}\) - 1
CALCULATION:
Given that:
- The angle between the two mirrors, θ = 60∘
\(\Rightarrow n '=\frac{360^{∘}}{θ^{∘}} = \frac{360}{60} =6\Rightarrow even\)
- Therefore, the number of images, n
\(\Rightarrow n=\frac{360^{∘}}{θ^{∘}}-1=\frac{360^{∘}}{60^{∘}}-1=6-1=5\)
