A candle 4.85 cm tall is 39.2 cm to the left of a plane mirror. where does the mirror form the image, and what is the height of this image ?

To determine where the image of the candle is formed by the plane mirror and its height, we can use some basic principles of optics. Let's break this down step by step.

Understanding Image Formation in a Plane Mirror

When an object is placed in front of a plane mirror, the image formed has some specific characteristics:

• The image is located at the same distance behind the mirror as the object is in front of it.
• The height of the image is equal to the height of the object.
• The image is virtual, meaning it cannot be projected onto a screen.
• The image is laterally inverted (flipped horizontally).

Calculating the Image Position

In your scenario, the candle is 39.2 cm to the left of the mirror. To find the position of the image, we simply mirror this distance:

• Distance of the candle from the mirror = 39.2 cm
• Distance of the image from the mirror = 39.2 cm (behind the mirror)

Thus, the image will be located 39.2 cm to the right of the mirror. If we consider the mirror as the origin (0 cm), the image will be at:

Image Position = 39.2 cm (to the right of the mirror)

Determining the Height of the Image

Next, we need to find the height of the image. Since the height of the image in a plane mirror is equal to the height of the object, we can directly state:

Height of the image = Height of the candle = 4.85 cm

Summary of Findings

In summary, the image of the candle is formed 39.2 cm to the right of the mirror, and its height remains 4.85 cm. This reflects the fundamental properties of image formation in plane mirrors, where the distance and height characteristics are consistent with the object.

Understanding these principles not only helps in solving similar problems but also enhances your grasp of how light interacts with reflective surfaces. If you have any further questions or need clarification on any point, feel free to ask!