Light and Optics: Shoplifter's Distance and Height

We find that di = -6.86 cm. Therefore, the shoplifter is approximately 6.86 cm away from the mirror.B) We can use the same equation, M=hi/ho, and substitute in the given values to solve for hi. We find that hi = -4.71 cm. Therefore, the shoplifter is approximately 4.71 cm tall. In summary, a shoplifter was spotted using a convex mirror with a focal length of 24.0cm. The image of the shoplifter appeared to be 22.0cm behind the
  • #1
Taylor Marks
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Homework Statement


A shoplifter is spotted using a convex mirror, in which the image appears to be 22.0cm behind the mirror, which has a focal length of 24.0cm. HIs apparent height, in this image, is 14.0cm tall.
A)How far away is the shoplifter from the mirror?
B) How tall is the shoplifter?

Homework Equations


M=hi/ho
1/do + 1/di = 1/f
M= -di/do

The Attempt at a Solution


A) 1/22 + 1/do =1/24
do=2.64 m
 
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  • #2
Taylor Mdi/ s said:

Homework Statement


A shoplifter is spotted using a convex mirror, in which the image appears to be 22.0cm behind the mirror, which has a focal length of 24.0cm. HIs apparent height, in this image, is 14.0cm tall.
A)How far away is the shoplifter from the mirror?
B) How tall is the shoplifter?

Homework Equations


M=hi/ho
1/do + 1/di = 1/f
M= -di/do

The Attempt at a Solution


A) 1/22 + 1/do =1/24
do=2.64 m
Remember that M=di/do=hi/ho
 

1. What is the difference between a plane mirror and a concave mirror?

A plane mirror is a flat surface that reflects light in a straight line, creating a virtual image of the object. A concave mirror, on the other hand, is curved inward and can create both real and virtual images depending on the position of the object relative to the focal point.

2. How does a mirror reflect light?

A mirror reflects light through the process of specular reflection, where light rays bounce off the smooth surface of the mirror at the same angle that they hit it. This creates a clear and undistorted reflection of the object.

3. What is the difference between a virtual image and a real image?

A virtual image is formed when light rays appear to be coming from a location behind the mirror, while a real image is formed when light rays actually converge at a point in front of the mirror. Real images can be projected onto a screen, while virtual images cannot be.

4. How does the angle of incidence affect the angle of reflection in a mirror?

The angle of incidence, which is the angle between the incident light ray and the normal line (perpendicular to the surface of the mirror), is equal to the angle of reflection, which is the angle between the reflected light ray and the normal line. This is known as the law of reflection.

5. Can a mirror produce a magnified image?

Yes, a concave mirror can produce a magnified image if the object is placed between the focal point and the mirror. The larger the distance between the object and the focal point, the larger the magnification of the image will be. However, a plane mirror will always produce an image that is the same size as the object.

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