Name: Spherical Mirrors
Uploaded: 2019-07-19
Duration: 3 min 24 s
Description: Do you know how curved mirrors are created? It is quite an interesting process. Come join us and learn how convex and concave mirrors are produced.

Question

Two plane mirrors are placed making an angle

θ

in between them. Write an expression for the images formed if an object is placed in between the mirrors. State the conditions, if any.

Accepted Answer

If two mirrors are inclined at an angle $θ$ will each other and object is placed in between the two mirrors, more than one image is formed. The number of images formed is $n = (\frac{360}{θ}) - 1$ . If $(\frac{360}{θ})$ is a fraction, the number of images formed is equal to its integral part, on the angle between the two mirrors.
The number of images formed in two plane mirrors inclined at an angle A to each other is given by the below formula:
Number of images, $n = \frac{360}{θ} - 1$ , if $\frac{360}{θ}$ is an even integer.
If $\frac{360}{θ}$ is odd integer, the number of images formed is equal to $n = \frac{360}{θ} - 1$ when the object is kept symmetrically,

and $n = \frac{360}{θ}$ when object is kept asymmetrically.
Where, $\frac{360}{θ}$ is a fraction and the number of images formed is equal to angle between the two mirrors.
As the angle gets smaller (down to zero degrees when the mirrors are facing each other and parallel) the smaller the angle and the greater the number of images.

R P Goyal and S P Tripathi Solutions for Chapter: Reflection of Light, Exercise 2: EXERCISE–7(B)

R P Goyal Physics Solutions for Exercise - R P Goyal and S P Tripathi Solutions for Chapter: Reflection of Light, Exercise 2: EXERCISE–7(B)

Questions from R P Goyal and S P Tripathi Solutions for Chapter: Reflection of Light, Exercise 2: EXERCISE–7(B) with Hints & Solutions

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