The human egg cell above is magnified using a 10´ ocular lens and a 40´ high power objective lens.
(a) Calculate the overall magnification.
(b) If the field of view at high-power magnification is 400 mm, calculate the size of the field of view when the magnification is reduced to 200´. Round your answer to three significant digits.
(c) Convert your three-digit answer in (b) to millimetres.
To calculate the overall magnification, you need to multiply the magnification of the ocular lens by the magnification of the objective lens.
(a) The overall magnification can be calculated as follows:
Overall magnification = Magnification of the ocular lens × Magnification of the objective lens
Overall magnification = 10´ × 40´
Overall magnification = 400´
So, the overall magnification is 400´.
(b) To calculate the size of the field of view when the magnification is reduced to 200´, you can use the relationship between magnification and field of view size. Let's denote the size of the field of view at 200´ magnification as FOV200.
Magnification1 × Field of view size1 = Magnification2 × Field of view size2
400´ × 400 mm = 200´ × FOV200
FOV200 = (400´ × 400 mm) / 200´
FOV200 = 80000 mm
The size of the field of view when the magnification is reduced to 200´ is 80000 mm.
(c) To convert the answer from (b) to millimeters, you already have it in millimeters (80000 mm). No further conversion is required.
So, the three-digit answer in (b) remains as 80000 mm.