Real world optical systems, such as telescopes or microscopes, use multiple lens

Question

Real world optical systems, such as telescopes or microscopes, use multiple lenses. In the case of the two-lens system shown here, the image I1 of the object O1 generated by the first lens (L1) becomes the object O2 for the second lens (L2). The object is 40 cm from the first lens.

1)The lenses are identical with a power of 6.67 D. To the nearest whole number, what is the focal length in centimeters of one of these lenses?

2)Where will the first image be located?

3)To the nearest whole number in centimters, where will the first image be located relative to L1? (How far from L1;+ is to the right and - to the left)?

4)To two decimal places, what is the magnification of this image?

5)Describe this image. (inverted/upright, smaller/larger/same size, real/virtual)

Explanation / Answer

1) f = 1/P

= 1/6.67

= 0.1499 m

= 0.15 m

= 15 cm

2) right to the first lense

3) object distance, u1 = 40 cm

f1 = 15 cm

let v1 is the image distance.

apply, 1/u1 + 1/v1 = 1/f1

1/v1 = 1/f1 - 1/u1

1/v1 = 1/15 - 1/40

v1 = +24 cm

4) magnification, m = -v1/u1

= -40/24

= -1.67

5) inverted,larger and real

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