Answer :
In this physics problem, we are considering the image produced by a plane mirror. Plane mirrors create images with some specific and consistent properties:
Virtual Image: The image produced by a plane mirror is virtual, meaning it cannot be projected onto a screen. It appears to be in a location behind the mirror.
Distance Relationship: The distance from the object to the plane mirror is equal to the distance from the mirror to the image. This is known as the law of reflection.
Orientation and Size: The image is upright, and it has the same size as the object.
In this scenario, we are given:
- The object (candle) height: 4.19 cm (though the height doesn’t affect the position of the image in plane mirrors).
- The distance from the candle to the mirror: 39.3 cm.
To find the distance from the mirror to the image, we apply the concept that the distance from the mirror to the image is equal to the distance from the object to the mirror:
[tex]\text{Distance from mirror to image} = 39.3 \text{ cm}[/tex]
Therefore, the image is located 39.3 cm behind the mirror. This distance is considered positive as per the problem's instruction.
Thus, the image is located at 39.3 cm from the mirror.