Calculating Effective Focal Length | Mirror Equation Help - 19mm Answer

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SUMMARY

The effective focal length of the lens in question is calculated using the mirror equation, specifically 1/f = 1/do + 1/di. In this scenario, the object distance (do) is 400 mm (the distance of the book), and the image distance (di) is 20 mm (the distance from the lens to the retina). The correct calculation confirms that the effective focal length is indeed 19 mm, aligning with the answer provided in the textbook. Unit conversion is crucial, as failing to convert 40 cm to 400 mm led to initial confusion.

PREREQUISITES
  • Understanding of the mirror equation (1/f = 1/do + 1/di)
  • Knowledge of unit conversion (cm to mm)
  • Basic principles of optics related to lenses and image formation
  • Familiarity with the anatomy of the human eye, specifically the lens and retina distances
NEXT STEPS
  • Study the derivation and applications of the mirror equation in optics
  • Learn about different types of lenses and their focal lengths
  • Explore the concept of image formation in concave and convex lenses
  • Investigate common optical illusions and their relation to focal length
USEFUL FOR

Students studying physics, particularly those in introductory optics courses, as well as educators seeking to clarify concepts related to lens behavior and image formation.

radiofruit
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Mirror equation help! please urgent!

Homework Statement



The distance from the lens of someone's eye to the retina is 20.0 mm. if the image of a book held 40.0 cm is in front of the eye in sharp focus, what is the effective focal length of the lense.
the back of the book says the answer is 19 mm.

thanks for your help everyone!

Homework Equations


1/f = 1/ do + 1/ di



The Attempt at a Solution

 
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radiofruit said:

Homework Statement



The distance from the lens of someone's eye to the retina is 20.0 mm. if the image of a book held 40.0 cm is in front of the eye in sharp focus, what is the effective focal length of the lense.
the back of the book says the answer is 19 mm.

thanks for your help everyone!

Homework Equations


1/f = 1/ do + 1/ di



The Attempt at a Solution

Just plug in the values.

Don't forget that 40 cm = 400 mm
 


Gahh! that's why it didn't work.

I forgot to convert Units.

Ahhh I'm a silly physics 11 student.

Thanks for your help!

Hmm does the distance from the retina to the lense (20 mm ) count as the Do ?
 


radiofruit said:
Gahh! that's why it didn't work.

I forgot to convert Units.

Ahhh I'm a silly physics 11 student.

Thanks for your help!

Hmm does the distance from the retina to the lense (20 mm ) count as the Do ?

You are welcome:smile:

No, 20 mm is Di, the distance to the image (which is on the retina). 400 mm is the object distance
 


Thanks!

So glad I join this message board.

My physics 11 teacher is horrendous, our class average is in the 50's.

I'm managing a 'B', but it's been difficult.
 


radiofruit said:
Thanks!

So glad I join this message board.

My physics 11 teacher is horrendous, our class average is in the 50's.

I'm managing a 'B', but it's been difficult.

You are welcome. Sorry to hear about your situation! I wish you the best luck!
 

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