Solve this physics problem for me...i'll even give you the answer

ManBearPig

Diamond Member
Sep 5, 2000
9,173
6
81
How far from a converging lens with a focal length of 23 cm should an object be placed to produce a real image which is the same size as the object?

the formula used to solve it is 1/focal length = 2/distance of object

i have NO idea how to solve it though, this is fucking embarrassing. my answer wont work lol.
 
Oct 27, 2007
17,009
5
0
1.65 jiggafurlongs.

Honestly I'm sorry but I just got done with a several day marathon of studying for my hardest exam so I seriously CBF helping :( If no one answers the question by tomorrow morning I'll look at it.
 

gorcorps

aka Brandon
Jul 18, 2004
30,741
456
126
should be 46cm if your formulas are right... does it ask for it in different units?
 

PieIsAwesome

Diamond Member
Feb 11, 2007
4,054
1
0
Ok I just read the OP, it's very simple.
1/f = 2/d
d = 2f

assuming the formula is correct.

This.

For a real image to be the same size as the object, magnification is -1.

m = -1 = -s' / s

So s' = s, where s is the object distance and s' is the image distance.

Substituting into the thin lens equation:

1/f = 1/s + 1/s' = 1/s + 1/s = 2 / s

So s, the object distance from the lens, is 2f = 2*23 = 46cm
 
Last edited:

ManBearPig

Diamond Member
Sep 5, 2000
9,173
6
81
heres a tough one, this one i cant even offer help on:

A -2.1 D lens is held 12.0 cm from an object 7.3 mm high.

What is the distance of the image?

What is the type of the image?

real, upright
real, inverted
virtual, inverted
virtual, upright
 

Nox51

Senior member
Jul 4, 2009
376
20
81
Distance should be 2.18 cm and a virtual upright image if I remember my optics right.
 

PieIsAwesome

Diamond Member
Feb 11, 2007
4,054
1
0
heres a tough one, this one i cant even offer help on:

A -2.1 D lens is held 12.0 cm from an object 7.3 mm high.

What is the distance of the image?

What is the type of the image?

real, upright
real, inverted
virtual, inverted
virtual, upright

Um, does that -2.1 D means a diverging lens with a focal length of 2.1 cm? I don't recognize it, maybe I forgot already. . .

But if it does mean what I think it means, then using the thin lens equation again:

f = -2.1 cm
s = 12.0 cm
y ( object height) = 7.3 mm = 0.73 cm

1/f = 1/s + 1/s'

1/s' = 1/f - 1/s = 1 / -2.1 - 1/12 = - 0.55952
s' = -1.787 = -1.8 cm

The image is 1.8 cm in front of the lens.

Since s' is negative, the image is virtual, and using
m = -s'/s = -(-1.8)/12

Gives a positive magnification value, so the image is upright.
 

Nox51

Senior member
Jul 4, 2009
376
20
81
I thought 2.1 D means 2.1 diopters which would be the power of the lens and so you use power=1/s-1/s'
 

PieIsAwesome

Diamond Member
Feb 11, 2007
4,054
1
0
I thought 2.1 D means 2.1 diopters which would be the power of the lens and so you use power=1/s-1/s'

You are probably right, I don't remember. :(

OP should know, he is supposed to be studying this after all. . .