Two plane mirrors are inclined such that 6 images are formed,determined the angle of inclination??

The number of images formed by two plane mirrors inclined at an angle θ can be calculated using the formula:

Number of images = 360° / (180° - θ)

Given that 6 images are formed, we can set up the equation:

6 = 360° / (180° - θ)

Solving for θ:

6(180° - θ) = 360°
1080° - 6θ = 360°
-6θ = -720°
θ = 120°

Therefore, the angle of inclination between the two plane mirrors is 120°.

Let the angle of inclination between the mirrors be θ.

For each image formed, the angle between the incident ray and the reflected ray is equal to θ.

Therefore, the total angle between the incident ray and the last (sixth) reflected ray is 6θ.

Since the incident ray and the last reflected ray are parallel, we have:

6θ = 180°

θ = 30°

Therefore, the angle of inclination between the mirrors is 30°.