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

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In summary, the distance from the lens of someone's eye to the retina is 20.0 mm and the image of a book held 40.0 cm in front of the eye is in sharp focus. Using the equation 1/f = 1/do + 1/di and plugging in the values, the effective focal length of the lens is 19 mm. It is important to remember to convert units, as 40 cm is equal to 400 mm. The distance from the retina to the lens is considered the Di, while the object distance is 400 mm. Despite having a difficult teacher, the user is managing a B in their Physics 11 class.
  • #1
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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  • #2


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
 
  • #3


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 ?
 
  • #4


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
 
  • #5


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.
 
  • #6


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!
 

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

1. What is the mirror equation?

The mirror equation is a mathematical formula that relates the distance of an object from a curved mirror to the distance of its image from the mirror, and the focal length of the mirror.

2. How do I use the mirror equation to calculate image distance?

To use the mirror equation, you need to know the distance of the object from the mirror (represented by "p"), the focal length of the mirror (represented by "f"), and the distance of the image from the mirror (represented by "q"). Then, simply plug those values into the equation: 1/p + 1/q = 1/f. Solving for q will give you the image distance.

3. Can the mirror equation be applied to all types of mirrors?

Yes, the mirror equation can be used for both concave and convex mirrors. However, the focal length will be positive for concave mirrors and negative for convex mirrors.

4. What are the units used in the mirror equation?

The units used in the mirror equation depend on the units used for the distance measurements. For example, if the distances are measured in meters, then the focal length will also be in meters.

5. What is the significance of the mirror equation?

The mirror equation is important in understanding how curved mirrors form images of objects. It allows us to calculate the position and size of an image formed by a curved mirror, and is used in various applications such as telescopes, cameras, and even in everyday items like rearview mirrors.

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