# Possible positions of object in magnified concave mirror?

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In summary, a curved mirror is a reflective surface with a curved shape used to reflect and focus light. There are two types: concave and convex. The focal length of a curved mirror can be calculated using the formula ƒ = R/2, and the magnification can be calculated using the formula M = -i/o. Curved mirrors have various real-life applications, such as in telescopes, microscopes, cameras, car side mirrors, and solar power plants. Concave mirrors are also used in reflecting telescopes, while convex mirrors are used in security cameras and store security systems.
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## Homework Statement

An object is magnified, by a factor; of 5, in a concave mirror. The mirror has a focal length of 20cm.
Calculate ALL possible positions of the object.

M=Hi/Ho=Di/Do
M=V/U
1/F=1/V+1/U

## The Attempt at a Solution

1/20=1/V + 1/U
-1U=20V/V
U=-20
V=10

Would I be correct?

M=V/U
M=10/-20
M=-1/2

Therefore, the possible positions of the object are at a distance of -20cm and a magnification of -1/2. This means the image will be inverted and half the size of the object.

## 1. What is a curved mirror?

A curved mirror is a reflective surface that has a curved shape, either inward (concave) or outward (convex). It is used to reflect and focus light, creating images and magnifying objects.

## 2. What are the types of curved mirrors?

The two main types of curved mirrors are concave and convex mirrors. Concave mirrors are curved inward and have a reflecting surface that curves towards the center. Convex mirrors, on the other hand, are curved outward and have a reflecting surface that curves away from the center.

## 3. How do you calculate the focal length of a curved mirror?

The focal length of a curved mirror can be calculated using the formula ƒ = R/2, where ƒ is the focal length and R is the radius of curvature of the mirror. The radius of curvature is the distance between the center of the mirror and its focal point.

## 4. How do you determine the magnification of an image formed by a curved mirror?

The magnification of an image formed by a curved mirror can be calculated using the formula M = -i/o, where M is the magnification, i is the image distance (distance from the mirror to the image), and o is the object distance (distance from the mirror to the object). A positive magnification indicates an upright image, while a negative magnification indicates an inverted image.

## 5. What are some real-life applications of curved mirrors?

Curved mirrors have many practical applications, such as in telescopes, microscopes, and cameras. They are also used in car side mirrors to give a wider field of view. In addition, they are used in solar power plants to concentrate sunlight and produce electricity. Concave mirrors are also used in reflecting telescopes to gather and focus light from distant objects, while convex mirrors are used in security cameras and in store security systems to provide a wider viewing angle.

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