Lenses - magnification, position, focal length help!!!

alicia113

ok so here is the quesiton..

An object is loacted 3.5 cm from the optical centre of a lens. The lense produces an image of magnification that is +0.667 the size of the object

a) is this lens a diverging or converging lens? explain

b) Find the position of the image and the focal length of the lens using the magnification equation and the thin lens equation

c) make a diagram of the situation, showing the axis of symmetry and the prinicple axis of the lens, its optical centre itrs principle focal points and the positions of the object and image



ok so you said it was a diverging lens and i have NO IDEA how to do b.... i am going back and back to my notes... but i just dont understand ... someone please help me !!! this is due tomorrow too

berkeman

Welcome to the PF.

Per the PF rules, you need to show some effort before we can be of tutorial help.

What do you mean "you said it was diverging"? Who is you?

A good place to start is to list the lens equations, and show how you calculate magnification. Then try to make the sketch they are asking for -- that should get you pretty far along... Please show us your work.

alicia113

So magnification is


M= hi/ho = -di/do

alicia113

So hi is +3.5cm. But what's the ho?

M=3.5/? = +0.667

So it would end up being 3.5/0.667 = 5.24? Am I correct?

berkeman

Good so far. Sketch?

alicia113

Is there an equation for focal length.?

alicia113

But I thought the magnification was +0.667?

berkeman

Yes, the lens equation.

alicia113

Is it

1/Di=1/f - 1/do

alicia113

But for that I am not sure where the numbers fit in. I do not have focal length. All I have is magnification and where the object is located

alicia113

I have 1/Di = 1/f - 1/3.5cm


I am missing the focal length


Wait that's the thin lens equation wow ok hold on.

alicia113

No I need the thin lens equation .. I am so confused right now !!

berkeman

It would seem that you have two equations (lens equation and magnification equation) and two unknowns (a distance and the focul length)...

http://en.wikipedia.org/wiki/Magnification

.

alicia113

Ok so I have my focal length as +4.3 magnification as 5.24 and distance of image is -18.3

alicia113

How do I find position of image