An object is placed 18.8 cm from a first converging lens of focal length 12.5 cm

Question

An object is placed 18.8 cm from a first converging lens of focal length 12.5 cm. A second converging lens with focal length 5.00 cm is placed 10.0 cm to the right of the first converging lens.

(a) Find the position q1 of the image formed by the first converging lens.
cm

(b) How far from the second lens is the image of the first lens?
cm beyond the second lens

(c) What is the value of p2, the object position for the second lens?
cm

(d) Find the position q2 of the image formed by the second lens.
cm

(e) Calculate the magnification of the first lens.


(f) Calculate the magnification of the second lens.


(g) What is the total magnification for the system?


(h) Is the final image real or virtual (compared to the original object for the lens system)?

realvirtual    

Is it upright or inverted (compared to the original object for the lens system)?uprightinverted    

Explanation / Answer

for first lens

1/u+1/v=1/f

f=12.5 cm

u=18.8 cm

we get v=37.301 cm

for second lens

u=37.301-10=-27.301 cm

f=5 cm

again putting in 1/v+1/u=1/f

v=4.2260 cm

(a) Find the position q1 of the image formed by the first converging lens.
cm
Answer=37.301 cm to right of lens 1
(b) How far from the second lens is the image of the first lens?
cm beyond the second lens

Answer=27.301 cm to right of lens 2

(c) What is the value of p2, the object position for the second lens?
cm
Answer=27.301 cm to right of lens 2
(d) Find the position q2 of the image formed by the second lens.
cm
Answer=4.22 cm to let of lens 2
(e) Calculate the magnification of the first lens.
Answer=m1=-37.301/18.8=-1.984

(f) Calculate the magnification of the second lens.
Answer=m2=4.22/27.301=0.1547

(g) What is the total magnification for the system?
Answer=m1*m2=-0.3069

(h) Is the final image real or virtual (compared to the original object for the lens system)?

realvirtual    

Answer=real upright image is formed
Is it upright or inverted (compared to the original object for the lens system)?uprightinverted    

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