Calculating Distance and Size of Image on Blackboard Reading

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SUMMARY

The discussion focuses on calculating the distance from a student's eyes to a blackboard and the size of the image formed on her retina. Using the refractive power of 61.20 diopters and a lens-to-retina distance of 1.643 cm, the correct distance to the blackboard is determined to be approximately 2.98 meters. Additionally, the size of the image on the retina is calculated to be -0.0479 cm, indicating an inverted image. The calculations utilize the lens formula and magnification equations effectively.

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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
 

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