Calculating Image Height of Flower in Convex Mirror | Homework Question

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SUMMARY

The discussion focuses on calculating the height of an image of a flower using a convex mirror with a focal length of -25 cm. The original poster calculated the image distance (di) as 33.3 cm and the image height (hi) as 1.33 cm, but failed to account for the virtual nature of the focal length. Correcting for this, the focal length should be substituted as f = -25 cm, leading to an image distance of di = -20 cm and an image height of hi = 0.80 cm.

PREREQUISITES
  • Understanding of mirror equations, specifically 1/f = 1/do + 1/di
  • Knowledge of magnification equations, M = -di/do = hi/ho
  • Familiarity with the properties of convex mirrors
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the properties of convex mirrors and their focal lengths
  • Practice solving problems using the mirror equation with virtual focal lengths
  • Explore the concept of magnification in optics
  • Review common mistakes in optics calculations to enhance problem-solving skills
USEFUL FOR

Students studying optics, physics educators, and anyone looking to improve their understanding of image formation in convex mirrors.

Brittany King
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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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Please, show the steps in your calculation...
 
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
 
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
 

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