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, we need to multiply the magnification of the ocular lens by the magnification of the objective lens.
(a) Overall Magnification:
The magnification of the ocular lens is 10´ (which means it magnifies an object 10 times). The magnification of the high power objective lens is 40´ (which means it magnifies an object 40 times).
Overall magnification = Magnification of ocular lens x Magnification of objective lens
Overall magnification = 10´ x 40´
Simplifying, we get:
Overall magnification = 400´
So, the overall magnification is 400´.
(b) Size of Field of View at 200´ Magnification:
The field of view is the area that is visible through the microscope at a given magnification. To calculate the size of the field of view at 200´ magnification, we divide the field of view at high-power (400 mm) by the magnification change (200´).
Size of field of view at 200´ magnification = Field of view at high-power magnification / Magnification change
Size of field of view at 200´ magnification = 400 mm / 200´
Simplifying, we get:
Size of field of view at 200´ magnification = 2 mm
So, the size of the field of view when the magnification is reduced to 200´ is 2 mm.
(c) Converting to Millimeters:
Since millimeters is the desired unit, we don't need to convert this answer any further.
The size of the field of view at 200´ magnification is already given as 2 mm.