Question

The no. of images formed between two parallel plane mirror are (A) \(\infty\) (B) 0 (C) 180 (D) 360

Short answer

The number of images formed between two parallel plane mirrors is infinite, as the object and its reflections will continue to reflect between the mirrors indefinitely. Therefore, the correct answer is (A) \(\infty\).

Step-by-step solution

Understanding light reflection between parallel plane mirrors

When light reflects between two parallel plane mirrors, it will bounce back and forth between them indefinitely, forming an infinite number of images. Each image is formed by the light rays that have been reflected an even number of times.

Visualizing the situation

Imagine placing an object in between the two parallel mirrors. The object will be reflected in both mirrors, creating one image in each mirror. Then, these images will also be reflected in the other mirror, creating two more images. As the reflections continue, an infinite number of images are formed.

Counting the images

As we now know that the reflections continue indefinitely, we can conclude that there are infinite images formed between the two parallel plane mirrors.

Identifying the correct answer

Based on our analysis, we can now see that the correct answer is: (A) \(\infty\). The number of images formed between two parallel plane mirrors is infinite.

Key concepts

Image Formation

When we talk about image formation, we're referring to how mirrors create virtual images by bouncing light. In the case of parallel plane mirrors, these images are the result of multiple reflections between the mirrors. Each mirror reflects not just the original object but also the images reflected from the opposite mirror.

Here's how it works:

• When an object is placed between two mirrors, each mirror reflects the object as a new image.
• These images themselves become objects that are then reflected back by the opposing mirror, creating more images.
• This series of reflections continues indefinitely, leading to an infinite array of images.

This phenomenon is particularly fascinating because it happens without any limit. No matter how far the light reflects back and forth, the process keeps generating images, making it a mesmerizing effect we often see in places like barber shops or elevators.

Reflection of Light

Reflection of light is the key principle behind how images are formed in mirrors. It occurs when light rays bounce off a surface. For plane mirrors, this reflection follows simple rules—it adheres to the law of reflection.

• The angle of incidence (the angle at which the incoming light hits the surface) is equal to the angle of reflection (the angle at which light departs from the surface).
• This process allows our eyes to perceive light as if it’s emanating from a point behind the mirror.

When two mirrors are parallel, light reflects back and forth between them, creating multiple reflections. This creates a never-ending series of images because the reflected light doesn't escape but continues bouncing indefinitely.

This continuous reflection process isn't limited by physical distance but rather an optical illusion that gives the appearance of depth and endless number of images.

Optics

In the study of optics, we delve into the science of light and its interactions. Plane mirrors are an essential part of optics, illustrating foundational principles such as reflection and image formation.

• Optics explains how light behaves and interacts with different surfaces, including mirrors.
• This field helps us to understand how images are formed by analyzing the path of light rays.
• We can use ray diagrams to predict the behavior of light in complex setups, like those involving multiple mirrors, to determine exactly where and how many images will form.

By studying optics, we gain insights into how we can manipulate light to create desired visual effects, be it in everyday objects or advanced technologies. The fundamental principles of optics extend beyond mirrors and are applicable in lenses, telescopes, cameras, and many other devices we use daily.