Understanding Lens and Mirror Equations: Focal Length, Object and Image Distance

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Homework Help Overview

The discussion revolves around understanding the lens and mirror equations, specifically focusing on calculating focal lengths, object distances, and image distances for concave mirrors and double convex lenses. Participants are exploring the relationships between these variables through specific examples involving light bulbs and their images.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants present calculations for focal lengths and image distances based on given object distances. They also discuss how the location and size of images change as objects are moved closer to mirrors and lenses.

Discussion Status

Some participants are seeking verification of their calculations and are looking for guidance on their understanding of the concepts. There is an ongoing request for assistance, indicating a collaborative effort to clarify the material.

Contextual Notes

Participants are working within the constraints of homework assignments, which may limit the information provided and the depth of discussion. There is a focus on real images and the behavior of light in relation to mirrors and lenses.

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A) A student places a light bulb 30 cm in front of a concave mirror. A real image of the bulb is found 6 cm in front of the mirror. What is the focal length of the mirror?

my answer was 5 cm

Given
-----
do=30cm
di=6cm
f=?

f=dodi/do+di

f=30*6/30+6

=5

B) If a light bulb is place 12 cm in front of a concave mirror with a focal length of 3 cm. How far in front of the mirror will the real image of the light bulb be found?

my answer was 4 cm

Given
-----
do=12cm
f=3cm
di=?

di=dof/do-f

di=12cm*3cm/12cm-3cm

=4

H) How did the location of the image change as you moved the object (light bulb) toward a mirror?

increased

I) how did the size of the image change as you moved the object toward the mirror?

increased in size


-----------------------------


A) A student places a light bulb 12 cm in front of a double convex lens. A real image of the bulb is found 3 cm on the other side of the lens. What is the focal length of the lens?

my answer was 2.4 cm

Given
-----
do=12cm
di=3cm
f=?

f=dodi/do+di

f=12*3/12+3

=2.4

B) A light bulb is place 30 cm in front of a double convex lens with a focal length of 6 cm. How far on the other side of the lens will the real image of the light bulb be found?

my answer was 7.5 cm

Given
-----
do=30cm
f=6cm
di=?

di=dodf/do-f

di=30*6/30-6

=7.5

H) How did the location of an image change as you moved the object (light bulb) toward a lens?

decreased

I) How did the size of the image change as you moved the object toward the lens?

it also decreased in size


thanks
 
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