Draw the ray tracing diagram for a microscope as shown below to find the final i

Question

Draw the ray tracing diagram for a microscope as shown below to find the final image of the sample. Estimate the magnifications of the objective lens and eyepiece, and the overal magnification 2. 3. The above microscope has the following parameters: the initial object distance d- 2.8 cm; the focal length of objective lens fi 1.5 cm; the focal length of eyepiece f 2.7 em; the distance between the two lenses L- 5.1cm. Calculate the final image distance di', the magnifications of objective lens Mi, and eyepiece M2, and the overall magnification M. 4. Converting Focal Length into optical power in Diopters. When an eye doctor gives the prescription for eyeglasses such as +1.5 D, it means the focal length is 1/1.5 = 0.667 m-66.7 cm. Similarly,-0.5D means a focal length of /-0.5) -2m. When the focal length of a lens f is expressed in meters, its reciprocal, ie, I/f is the optical power in diopters (diopter- l/meter). Convert the following focal lengths into meters first and then calculate the optical powers. (a) f 50 cm; (b)f 400 mm. 5. Find one optical illusion example from the internet and print it out and submit it with your homwwork

Explanation / Answer

for the first lens, to find the location of image by lens 1, we need to use the lens equation.

1/u + 1/v = 1/f

or 1/2.8 + 1/v = 1/1.5

or v= 3.23 cm

magnification due to this lens = |v/u|

=|3.23/2.8|

or v=1.153

For the second lens, u = 5.1 - v1

=5.1 - 1.153

= 3.947 cm

using the lens equation,

1/u + 1/v = 1/f

or 1/3.947 + 1/v = 1/2.7

or v=8.546 cm

so magnification due to this lens = |v/u|

=(8.546/3.947)

=2.165

so total magnification m = m1*m2

=2.165*1.153

=2.496

4)a) f=50 cm

now 100 cm = 1 m

so f = 0.5 m

so D = 1/f

=1/0.5 = 2 Diop.

b)f = -400 mm

now 1000 mm = 1m

so, f = -0.4 m

so D = 1/f

=-2.5 Diop.

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