Calculating Distance and Size of Image on Blackboard Reading

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The discussion focuses on calculating the distance from a student’s eyes to a blackboard and the size of the image on her retina. The student initially calculates the focal length and object distance using the lens formula but arrives at an incorrect distance of 2.06 meters. Another participant points out an error in the calculations, suggesting that the correct object distance should be approximately 2.98 meters. For the image size, the student calculates a value of -0.0479 cm, indicating a potential misunderstanding of the magnification formula. The conversation concludes with the student acknowledging the correction and expressing gratitude for the help received.
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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
 
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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
 
k cool thanks i got it now
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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