Note that with our usual sign convention for object and image distances, si2 is

Question

Note that with our usual sign convention for object and image distances, si2 is actually negative.) Plugging Equation 8 into Equation 7, we can eliminate sa. Now, keeping in mind that we would like to achieve a magnification of -2, calculate where you should place the second lens (o2). Hint: use the sign convention for the distances as given in figure 10. Method 2 Combine the two lens equations for each lens into equation (7) to eliminate the un- known variables sa and si2, then solve for so2. You should arrive to the following equation (include a derivaiton, don't just copy this result). fifa- 802 = Place the eyepiece at the calculated distance and look through your microscope. As you move your head from side to side, you should notice that there is little to no parallax between the lines on the actual object and the lines that you see through the center of the microscope. Estimate the magnification by comparing the magnified and unmagn with error. Discuss how you quantitatively determine error on the magn ified grids ification 1. ured magnification agree with the desired results of -2 within

Explanation / Answer

Given, equation 7
M = Meyepiece * Mobjective = (-si1/so1)(-si2/so2)
also, thin lens equaiton
1/f = 1/so + 1/si

so, consider lens 1, focal length f1, object distance so1, image distance si1
applying thinn lens equaiton to it
1/f1 = 1/so1 + 1/si1
si1 = f1*so1/(so1 - f1)

consider lens 2, focal length f2, object distance so2, image distance si2
applying thin lens equation
1/f2 = 1/so2 + 1/si2
si2 = f2*so2/(so2 - f2)

also, total magnification, M = M1 * M2 ( where M1 is magnification of 1 anf M2 is magnification of 2)
M = (-si1/so1)(-si2/so2) = f1*/(so1 - si1)*f2/(so2 - f2)
(so1 - f1)(so2 - f2)M = f1*f2
so2(so1 - f1) - f2(so1 - f1) = f1*f2/M
so2 = f1*f2/M(so1 - f1) + f2

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