Start by converting between millimeters and microns.
250, see solution.
Practice makes perfect
A microscope is used to enlarge tiny objects. Under a microscope, 200 microns appears 50 millimeters long. We want to find the scale factor k of the enlargement. Before we do that, we should first convert 200 microns to millimeters.
Converting Units
We are told that 1 millimeter is the same as 1000 microns.
1 mm = 1000 ÎĽ
To convert between units, we multiply by the conversion factor. It is a ratio of two equal lengths expressed using different units. Here the conversion factor is 1 mm 1000 ÎĽ m. Let's then multiply 200 microns by this factor and simplify.
200 ÎĽ m * 1 mm/1000 ÎĽ m = 0.2 mm
We found that 200 microns is 0.2 millimeters.
Scale Factor
Now we can find the scale factor k. It is the ratio of the length of the image and the corresponding length of the preimage.
k=image length/preimage length
We know that the length of the organism is 200 ÎĽm, or 0.2 mm and the length under a microscope is 50mm. Let's substitute these lengths into the formula and evaluate the expression.
