Question about height of image and magnification

In summary, the conversation discusses the position and magnification of an image formed by a concave mirror. The distance from the center of curvature to the object and the radius of the mirror are given. The calculated position of the image is 9.6 cm and the magnification is -0.6, indicating an inverted and real image. The confusion about negative height and distance values is clarified, with positive values indicating real images and negative values indicating virtual images.
  • #1
yjk91
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Homework Statement



so if the original object is 4.6 cm tall located at x = 0 and it's a concave mirror

distance from C to the object is 16 cm and Radius of the mirror is 12 cm



The Attempt at a Solution



to find the position of x image

i got 9.6 cm

then for magnification i got -.6 which is also equal to M = -di/do = Hi /Ho

so since the object is 4.6 tall the Hi is -2.76cm

so it's inverted? and it's real? since it's inside the mirror and the object

how can Hi be negative what does this mean if the di is negative it's virtural i think so the image is real

but should the height be in magnitude but what i got from the equation was -2.76cm

please explain

thank you
 
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  • #2
Positive di means the image is real.
Negative di means the image is virtual.

Negative magnification means the image is inverted.
Positive magnification means the image is erect.
 

1. What is the relationship between the height of an image and magnification?

The height of an image and magnification are directly proportional. This means that as the magnification increases, the height of the image also increases.

2. How do you calculate the magnification of an image?

Magnification is calculated by dividing the height of the image by the height of the object. This can be expressed as M = hi/ho, where M is the magnification, hi is the height of the image, and ho is the height of the object.

3. Can the height of an image be larger than the height of the object?

Yes, it is possible for the height of an image to be larger than the height of the object. This is known as magnification greater than 1.

4. How does the distance between an object and a lens affect the height of the image?

The distance between an object and a lens, also known as the object distance, affects the height of the image through the magnification formula. As the object distance decreases, the magnification increases, resulting in a larger image height.

5. What factors can affect the accuracy of measuring the height of an image?

The accuracy of measuring the height of an image can be affected by various factors, such as the quality of the lens, the distance between the object and the lens, and the precision of the measuring instrument. Additionally, any errors in calculating the magnification can also affect the accuracy of the measured height of an image.

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