Determining the Minimum Length of a Plane Mirror to View a 5m Drawing

In summary, the minimum length of a plane mirror needed to view a 5m drawing can be determined using the formula L = 2d, where L is the length of the mirror and d is the distance between the drawing and the mirror. Other factors that affect the minimum length include the size of the drawing, distance between the drawing and the mirror, angle of the mirror, and quality of reflection. While a mirror shorter than the minimum length can technically be used, it is recommended to use a mirror that is at least the minimum length for accurate viewing. The purpose of determining the minimum length is to ensure a distortion-free and accurate viewing experience. Other formulas can also be used to determine the minimum length, but L = 2d
  • #1
charlie 42
1
0
a man is standing with his back facing a large drawing of 5m long, and his front facing a plane mirror.the mirror is placed at eye level, to enable him to see the image of the drawing.what is the minimum length of the plane mirror if he were to see the whole image of the drawing?

1)2m

2)2.5m

3)3m

4)4m
 
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  • #2
Show what you've figured out so far. (Hint: A 5m tall object a distance x in front of a plane mirror will appear in the mirror as a 5m tall object a distance x behind the mirror.)
 
  • #3


I would first need to clarify some details in order to accurately determine the minimum length of the plane mirror. Is the drawing positioned horizontally or vertically? Is the man's height and distance from the mirror specified? These factors will affect the calculation of the minimum length of the mirror.

Assuming the drawing is positioned horizontally and the man's height and distance from the mirror are not specified, the minimum length of the plane mirror would be equal to the length of the drawing, which is 5m. This is because in order for the man to see the entire image of the drawing, the mirror would need to be able to reflect the entire length of the drawing.

However, if the drawing is positioned vertically, the minimum length of the mirror would be half the length of the drawing, or 2.5m. This is because the mirror would only need to reflect the top half of the drawing, which would then be reflected back down to the man's eye level.

In conclusion, the minimum length of the plane mirror would vary depending on the position of the drawing and the man's height and distance from the mirror. Without these specifics, it is not possible to accurately determine the minimum length of the mirror.
 

Related to Determining the Minimum Length of a Plane Mirror to View a 5m Drawing

1. How do you determine the minimum length of a plane mirror to view a 5m drawing?

To determine the minimum length of a plane mirror to view a 5m drawing, you will need to use the formula L = 2d, where L is the length of the mirror and d is the distance between the drawing and the mirror. In this case, d would be equal to 2.5m since the drawing is 5m and the mirror needs to be placed at a distance equal to half the length of the drawing.

2. What factors affect the minimum length of a plane mirror for viewing a 5m drawing?

The main factors that affect the minimum length of a plane mirror for viewing a 5m drawing are the size of the drawing and the distance between the drawing and the mirror. The larger the drawing and the shorter the distance, the longer the mirror needs to be in order to view the entire drawing. Other factors that may affect the minimum length of the mirror include the angle at which the mirror is placed and the quality of the mirror's reflection.

3. Can a plane mirror shorter than the minimum length still be used to view a 5m drawing?

Technically, yes, a plane mirror shorter than the minimum length can still be used to view a 5m drawing. However, you will not be able to see the entire drawing at once and it may be distorted due to the limited viewing area. Therefore, it is recommended to use a mirror that is at least the minimum length in order to view the drawing accurately.

4. What is the purpose of determining the minimum length of a plane mirror for viewing a 5m drawing?

The purpose of determining the minimum length of a plane mirror for viewing a 5m drawing is to ensure that the entire drawing can be seen in the mirror without any distortion. This is important for accurate viewing and analysis of the drawing. It also helps to determine the appropriate size and placement of the mirror for the best viewing experience.

5. Can the minimum length of a plane mirror be determined using a different formula?

Yes, there are other formulas that can be used to determine the minimum length of a plane mirror for viewing a 5m drawing. Some other commonly used formulas include L = d/2 + h and L = (2dh)/(d+h), where d is the distance between the drawing and the mirror, and h is the height of the drawing. However, the L = 2d formula is typically the most straightforward and commonly used for this purpose.

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