Ray Optics and Optical Instruments - Result Question 6

6. If two mirrors are kept inclined at $60^{\circ}$ to each other and a body is placed at the middle, then total number of images formed is

[1995]

(a) six

(b) five

(c) four

(d) three

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Answer:

Correct Answer: 6. (b)

Solution:

  1. (b) Angle between two mirrors $(\theta)=60^{\circ}$. Number of images formed by the inclined mirror $(n)=\frac{360^{\circ}}{\theta}-1=\frac{360^{\circ}}{60^{\circ}}-1=6-1=5$

When two plane mirrors are inclined to each other at an angle $\theta$ then number of images ( $n$ ) formed $n=\frac{360}{\theta}$ when object is placed asymmetrically, and $n=\frac{360}{\theta}-1$ when object is placed symmetrically.