Multiple Images

Shown in the figure are two plane mirrors $XY$ and $YZ\left(XY\perp YZ\right)$ joined at their edge. Also shown is a light ray falling on one of the mirrors and reflected back parallel to its original path as a result of this arrangement. The two mirrors are now rotated by an angle $\mathrm{\theta }$ to their new position $X\text{'}YZ\text{'}$', as shown. As a result the new reflected ray is at an angle $\beta$ from the original reflected ray. Then:

Find number of images formed according to given case -

Two large plane mirrors $PM$ and $PN$ are arranged as shown. The length of the part of large screen $S{S}^{\text{'}}$ in which two images of the object placed at $P$ can be seen is $x$ (in $\mathrm{m}$). Find the value $\sqrt{3}x$.

Periscope works on the principle of

Which of the following works on the concept of multiple reflections?

Which of the following is true for kaleidoscopes?

A point object is placed mid-way between two plane mirrors distance 20 cm apart. The plane mirror forms an infinite number of images due to multiple reflections. The distance between the 2nd order image formed in the two mirrors is

A person is in a room whose ceiling and two adjacent walls are mirrors. How many images are formed?

Two plane mirror are inclined at an angle of $72°$, The number of images of a point object placed between them will be

A light bulb is placed between two plane mirrors inclined at an angle of ${60}^o$ . Number of images formed are 

How many number of images formed by two plane mirrors when the angle of incidence is $90°$?

Two plane mirrors are kept on a horizontal table making an angle $\theta$ with each other as shown schematically in the figure. The angle $\theta$ is such that any ray of light reflected after striking both the mirrors return parallel to its incident path. For this to happen, the value of $\theta$ should be

Which instrument is based on the principle of multiple reflections?

Cotyledons are also called-

There are two plane mirrors placed at some angle $\theta$ with each other. A ray incident on the first mirror travels parallel to the second mirror after reflection and then after reflection it travels parallel to the first mirror. Find the angle $\theta$ between the mirrors.

Write the value of angle of reflection at both the reflecting surfaces $M_1$ and $M_2$ held perpendicular to each other. The ray is incident as shown in the figure at ${40}^o$.

The idea of number of images formed by mirrors placed at an angle to one another is used in a _____ to make numerous beautiful patterns.

Four identical mirrors are made to stand vertically to form a square arrangement as shown in top view. A ray starts from the midpoint M of mirror AD and after two reflections reaches corner D. Then angle $\theta$ must be

Assertion: If a light ray incidents over one of the two inclined mirrors at 90º with each-other then finally emergent ray is antiparallel with incident ray.

Reason: Finally reflected and initially incident rays are in same phase when successively reflected from two perpendicularly inclined mirrors.

Two plane mirrors which are perpendicular are forming two sides of a vessel filled with liquid of refractive index$=1.5$ . After all possible refraction & reflection, find the deviation $\left(\delta \right)$ in ray___