Question

two adjacent walls and ceiling of rectangular room are mirror surfaced the number of images formed by himself by an observer sees​

Answer 1

This is because two adjacent walls are at 90∘. They will produce 3 images (=36090-1).

Answer 2

Answer : 4

Angle Between two mirorrs = 90°

(given : walls are adjacent)

n = (360/90) - 1

n = 4 - 1 = 3

Total image formed = 3 + 1 = 4

(one image in the upper roof)

Explanation:

If the image of an object is viewed in two plane mirrors that are inclined to each other, we see, a number of image gets formed.

The number of images depends on the angle between the two mirrors.

The number of images formed in two plane mirrors inclined at an angle θ to each other is given by the formula :

Number of images,

$n = \frac{360}{θ} - 1$

The number of images formed

[ n = 360/ θ − 1 ]

if (360/ θ) is even integer.

If (360/ θ) is odd integer, the number of images formed

[n=(360/A)-1]

(when the object is kept symmetrically)

and n=(360/A)

(when object is kept asymmetrically.)

If (360/A) is a fraction, the number of images formed is equal to its integral part.

As the angle gets smaller (tends to 0° when the mirrors are facing each other, i.e. parallel) the smaller the angle the greater the number of images.

Hence when the mirrors are kept parallel the number of images = Infinite .

Hope this helps!