Question

Imagine that you have two lens with different magnifications, i.e 4x, 10x, 40X, or 100X. Using the letter "e" as you specimen, accurately draw the magnification and resolution of the specimen. Indicate on your diagram: 1. the working distance 2. the focal length 3. the focal point 4. the refraction of light rays through lens 5, the magnification relative to each lens 6. the resolution relative to each lens 7. the transversion and inversion

Answer 1

Ans:

Here I am considering NET magnification of two lens system.

Fe = 5 cm

Fo = 0.52 cm

Formulas :

Resolution = 1.22λ / (NA(obj) + NA(cond))

Numerical aperture (NA) = D/2f

1/di = 1/Fo – 1/do

Mnet = (M_obj)(M_eye)

M_obj = -(di/do)

For 4X

1. di = 0.413 cm

do = 0.620 cm

M_obj = -0.666

d'i = -1.4398 cm

d'o = 0.239 cm

M_eye = 6

Resolution = 2.75 µm

NA = 0.10

For 10X

2. di = 1.033 cm

do = 0.643 cm

M_obj = -1.606

d'i = -2.61 cm

d'o = 0.419 cm

M_eye = 6.22

Resolution = 1.1 µm

NA = 0.25

For 40X

3. di = 4.13 cm

do = 6.2 cm

M_obj = -1.606

d'i = -14.398 cm

d'o = 2.39 cm

M_eye = 6.22

Resolution = 0.42 µm

NA = 0.65

For 100X

4. di = 10.33 cm

do = 6.43 cm

M_obj = -1.606

d'i = -26.1 cm

d'o = 4.19 cm

M_eye = 6.22

Resolution = 0.22 µm

NA = 1.25