The field of view with the medium power objective is 1.6 mm. The large circle in the diagram below shows the field of view with a specimen, the smaller dark circle. Estimate the size of the specimen in mm and μm.
No diagram showing. Can’t copy and paste here.
To estimate the size of the specimen in mm and μm, we need to make use of the given information about the field of view with the medium power objective.
First, we know that the field of view with the medium power objective is 1.6 mm. This measurement refers to the diameter of the large circle in the diagram, which represents the field of view without the specimen.
To estimate the size of the specimen, we need to compare the diameters of the circles in the diagram. The smaller dark circle represents the field of view with the specimen.
To determine the diameter of the specimen, we can use the principle of similar triangles. We assume that the diagram is drawn to scale and that the circles are centered. Therefore, the ratio of the diameters of the circles is equal to the ratio of their corresponding sides.
Let's say the diameter of the small dark circle (representing the field of view with the specimen) is "d".
Using the similar triangles concept, we can write the following proportion:
d / 1.6 mm = d / x
Where "x" represents the actual size of the specimen.
To solve for "x", we can cross-multiply and solve the equation:
d * x = 1.6 mm * d
x = (1.6 mm * d) / d
Simplifying, we find that x = 1.6 mm.
Therefore, the size of the specimen is estimated to be 1.6 mm.
To convert this size to micrometers (μm), we know that 1 mm is equal to 1000 μm.
So, 1.6 mm is equal to 1.6 * 1000 μm, which equals 1600 μm.
Hence, the size of the specimen is estimated to be 1.6 mm and 1600 μm.