Calculating Image Height of Flower in Convex Mirror | Homework Question

In summary: To the one who posted the conversation: the summary would be:In summary, a convex spherical mirror with a focal length of 25 cm has a 4.0-cm tall flower placed 100 cm in front of it. The height of the image of the flower is 0.80 cm.
  • #1
Brittany King
12
0
1. Homework Statement

A convex spherical mirror with a focal length of magnitude 25 cm has a 4.0-cm tall flower placed 100 cm in front of it. What is the height of the image of the flower?

a.20 cm
b. 1.6 cm
c .0.80 cm
d. 4.0 cm
e. 8.0 cm

Homework Equations



1/f=1/do+1/di

M=-di/do=hi/ho

The Attempt at a Solution


[/B]
Using mirror equation I calculated di=33.3cm
Using Magnification equation I calculated hi=1.33cm

I thought this would be a simple problem, I don't see my mistake. Do any of you? Thanks in advance.
 
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  • #2
Please, show the steps in your calculation...
 
  • #3
you have used the correct equations, but you forget about the focal length of convex mirror is virtual, hence you should substitutes f = -25 cm, and you should get di = -20 cm , hence, hi = 0.80 cm
 
  • #4
yihloong said:
you have used the correct equations, but you forget about the focal length of convex mirror is virtual, hence you should substitutes f = -25 cm, and you should get di = -20 cm , hence, hi = 0.80 cm
Hello yihloong, :welcome:

Please note that in PF we don't provide the answers: we help the posters learn and understand by pointing at mistakes and by asking relevant questions. Directly giving an answer often robs the poster from a valuable learning experience
 

Related to Calculating Image Height of Flower in Convex Mirror | Homework Question

What is a convex mirror?

A convex mirror is a curved mirror that bulges outward. It is also known as a diverging mirror because it causes light rays to spread out.

What are the characteristics of a convex mirror?

A convex mirror has a reflective surface that curves outward, creating a wider field of view and a smaller image compared to the object being reflected. It also has a virtual image, meaning the image appears to be behind the mirror and cannot be projected onto a screen.

What are the uses of convex mirrors?

Convex mirrors are commonly used in security and surveillance systems, as well as in side-view mirrors of vehicles. They are also used in solar cookers, telescopes, and safety mirrors in stores and parking lots.

How does a convex mirror differ from a concave mirror?

A convex mirror bulges outward and produces a smaller, upright image, while a concave mirror curves inward and produces a larger, inverted image. Additionally, a convex mirror always has a virtual image, while a concave mirror can produce both virtual and real images.

What is the difference between a convex mirror and a plane mirror?

A convex mirror has a curved surface, while a plane mirror has a flat surface. This results in a distorted image in a convex mirror, while a plane mirror produces a reflection that is the same size and shape as the object being reflected.

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