Calculating Distance and Size of Image on Blackboard Reading

In summary, the student in the conversation is trying to solve two problems related to the refractive power of the lenses in her eyes and the distance between the lens and retina. The first problem involves calculating the distance between the blackboard and her eyes, which is found to be 2.06 meters. The second problem involves finding the size of the image on her retina, which is determined to be -0.0479 cm. There was a small error in the calculation for part a), but it has been corrected.
  • #1
thompson.1674
8
0

Homework Statement


A student is reading a lecture written on a blackboard. The lenses in her eyes have a refractive power of 61.20 diopters, and the lens-to-retina distance is 1.643 cm.
(a) How far (in meters) is the blackboard from her eyes?
(b) If the writing on the blackboard is 6.00 cm high, what is the size of the image on her retina (including the proper algebraic sign)? (in cm)


Homework Equations


p=1/f
1/f=(1/do)+(1/di)
m=hi/ho=-di/do




The Attempt at a Solution


(a) 61.20=1/f
f=.0163 m
1/.0163=(1/.01643m)+(1/do)
do=2.06 m
(b) m=-1.643cm/206cm= -.00798 cm x 6cm= -.0479cm.

I am not really sure what I did wrong on these two problems?? Any help would be appreciated
 
Physics news on Phys.org
  • #2
thompson.1674 said:

Homework Statement


A student is reading a lecture written on a blackboard. The lenses in her eyes have a refractive power of 61.20 diopters, and the lens-to-retina distance is 1.643 cm.
(a) How far (in meters) is the blackboard from her eyes?
(b) If the writing on the blackboard is 6.00 cm high, what is the size of the image on her retina (including the proper algebraic sign)? (in cm)

Homework Equations


p=1/f
1/f=(1/do)+(1/di)
m=hi/ho=-di/do

The Attempt at a Solution


(a) 61.20=1/f
f=.0163 m
1/.0163=(1/.01643m)+(1/do)
do=2.06 m
(b) m=-1.643cm/206cm= -.00798 cm x 6cm= -.0479cm.

I am not really sure what I did wrong on these two problems?? Any help would be appreciated

For one thing part a) looks like the math is a little off.
1/f = 61.20
1/.01643 = 60.8643
difference = .3357 That suggests do = 2.98 m
 
  • #3
k cool thanks i got it now
 

Related to Calculating Distance and Size of Image on Blackboard Reading

1. How do you calculate the distance of an object from a blackboard?

In order to calculate the distance of an object from a blackboard, you will need to use the formula: distance = (height of object x distance of object from blackboard) / height of image on blackboard. This formula takes into account the height of the object, its distance from the blackboard, and the height of the image on the blackboard.

2. What information do you need to calculate the size of an image on a blackboard?

In order to calculate the size of an image on a blackboard, you will need to know the distance of the object from the blackboard and its height on the blackboard. This information can be used in the formula: size of image = (height of object x distance of object from blackboard) / distance of image from blackboard. This formula takes into account the size and distance of the object, as well as the distance of the image from the blackboard.

3. How does the distance of an object from a blackboard affect the size of its image?

The distance of an object from a blackboard directly affects the size of its image. As the distance from the blackboard increases, the size of the image decreases. This is due to the angle of vision and the principle of similar triangles.

4. Can you use the same formula to calculate the size of an image on a whiteboard?

Yes, the same formula can be used to calculate the size of an image on a whiteboard. However, it is important to note that the material of the board can affect the reflection and refraction of light, which may slightly alter the calculated size.

5. How accurate are calculations of distance and size on a blackboard?

The accuracy of calculations of distance and size on a blackboard depends on the accuracy of the measurements taken and the assumptions made in the calculations. Factors such as the angle of vision, material of the board, and potential errors in measurement can all affect the accuracy of the calculated values.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
993
  • Introductory Physics Homework Help
Replies
3
Views
4K
  • Introductory Physics Homework Help
Replies
8
Views
5K
  • Introductory Physics Homework Help
Replies
12
Views
8K
  • Introductory Physics Homework Help
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top