Final answer:
The diameter of the high power field of view with a magnification of 500x, given a low power field diameter of 1500µm and magnification of 100x, is 300µm.
Step-by-step explanation:
If a microscope has a low power magnification of 100x and a high power magnification of 500x, and a low power field of diameter 1500µm, we can calculate the diameter of the high power field of view in µm. To do this, we use the formula that states that the magnification is inversely proportional to the diameter of the field of view. This means that, if the magnification increases, the diameter of the field of view will decrease proportionally.
The ratio of magnification between the high power and the low power objectives is 500x / 100x = 5. Since the magnifications are inversely proportional to the diameters of the fields of view, we can find the high power field diameter by dividing the low power field diameter by this ratio:
High power field diameter = Low power field diameter / Ratio = 1500µm / 5 = 300µm.
Therefore, the diameter of the high power field of view is 300µm.