How to Calculate Focal Length of a Convex Mirror?

Click For Summary
SUMMARY

The focal length of a convex mirror can be calculated using the mirror formula: 1/di = 1/f - 1/do. In this discussion, the object distance (do) is given as 37 cm, and the image distance (di) is -9.3 cm, indicating a virtual image. The correct calculation for the focal length (f) results in a positive value, confirming the nature of convex mirrors. The user initially struggled with the calculations but confirmed that di was accurate.

PREREQUISITES
  • Understanding of mirror formulas, specifically 1/di = 1/f - 1/do
  • Basic knowledge of convex mirrors and their properties
  • Ability to manipulate algebraic equations
  • Familiarity with the concept of virtual images in optics
NEXT STEPS
  • Study the derivation of the mirror formula for convex mirrors
  • Explore the characteristics of virtual images produced by convex mirrors
  • Learn about the significance of focal length in optical systems
  • Investigate practical applications of convex mirrors in everyday life
USEFUL FOR

Students studying optics, physics educators, and anyone interested in understanding the principles of image formation by convex mirrors.

matt72lsu
Messages
94
Reaction score
0

Homework Statement


The virtual image produced by a convex mirror is one-quarter the size of the object.
b) What is the focal length of this mirror?

Homework Equations



1/di = 1/f - 1/do

The Attempt at a Solution


i found di to be -9.3 cm but when i solved for f i keep getting it wrong. Help! (and -9.3 is correct so that's not the problem)
 
Physics news on Phys.org
Can you show your calculations?
 
i did 1/-9.3 = 1/f - 1/37 (do) then solved for f
 

Similar threads

Replies
19
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 16 ·
Replies
16
Views
2K
Replies
5
Views
3K
Replies
3
Views
5K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K