11. A 40X microscope has a field of view of 3.2mm. What would the field of view be at 400X to the nearest hundredth of a mm?

Here's how to calculate the field of view at 400X:**Understanding the Relationship**The field of view is inversely proportional to the magnification. This means as magnification increases, the field of view decreases. This relationship can be expressed as:Magnification₁ * Field of View₁ = Magnification₂ * Field of View₂**Applying the Formula*** Magnification₁ = 40X* Field of View₁ = 3.2 mm* Magnification₂ = 400X* Field of View₂ = (unknown - what we want to find)Plugging the values into the formula:40X * 3.2 mm = 400X * Field of View₂**Solving for Field of View₂**1. Simplify the left side of the equation: 128 = 400 * Field of View₂2. Divide both sides by 400: 128 / 400 = Field of View₂3. Calculate the result: Field of View₂ = 0.32 mm**Answer:** The field of view at 400X would be 0.32 mm.