Question

What will be the angle between two plane mirrors if 8 images of an object are to be formed

Answer 1

Answer:

solved

Explanation:

N = 360/A -1 =8

360/A=9

A = 360/9 = 40°

Answer 2

Given,

Two plane mirrors are placed at a particular angle such that the number of images of an object formed = 8

To find,

The angle between two plane mirrors.

Solution,

We can simply solve this numerical problem by using the following process:

Let us assume that the angle between the two plane mirrors is x degrees.

As per the principles of ray optics,

If two plane mirrors are placed at an angle A degrees, then the number of images (n) of an object formed by the setup is represented as;

n = (360/A) - 1

Now, as per the question;

The number of images of an object formed by the two mirrors = 8

=> n = (360/A) - 1 = 8

=> 360/x = 9

=> x = 40 degrees

Hence, the angle between two plane mirrors is equal to 40 degrees.