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:<br /><br />**Understanding the Relationship**<br /><br />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:<br /><br />Magnification₁ * Field of View₁ = Magnification₂ * Field of View₂<br /><br />**Applying the Formula**<br /><br />* Magnification₁ = 40X<br />* Field of View₁ = 3.2 mm<br />* Magnification₂ = 400X<br />* Field of View₂ = (unknown - what we want to find)<br /><br />Plugging the values into the formula:<br /><br />40X * 3.2 mm = 400X * Field of View₂<br /><br />**Solving for Field of View₂**<br /><br />1. Simplify the left side of the equation: 128 = 400 * Field of View₂<br />2. Divide both sides by 400: 128 / 400 = Field of View₂<br />3. Calculate the result: Field of View₂ = 0.32 mm<br /><br />**Answer:** The field of view at 400X would be 0.32 mm.<br />