You are viewing a bacterial sample that is 7 micrometers (µm) in diameter through your oil objective lens which has a magnification of 100x. The eyepiece has a magnification power of 5x. What size will the sample appear through the eyepiece?

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The task is to determine how large a 7 µm diameter bacterial sample will appear when viewed with a compound microscope that has a 100x objective and a 5x eyepiece.
First, calculate the total magnification by multiplying the objective magnification by the eyepiece magnification: 100x × 5x = 500x. This tells us that the image is magnified 500 times relative to its actual size.
Next, convert the actual diameter into a compatible unit for the final measurement. The real size is 7 micrometers (µm). To relate this to a millimeter outcome, multiply by the magnification: 7 µm × 500 = 3500 µm.
Then convert micrometers to millimeters since the common reported image size is in millimeters: 1 millimeter equals 1000 micrometers, so 3500 µm = 3.5 mm.
Therefore, when observed through the eyepiece, the bacterial sample will appear to have a diameter of 3.5 millimeters. This aligns with the straightforward magnification scaling: image size = actual size × total magnification, with proper unit conversion.
If you want to sanity-check, note that the image size grows linearly with magnification, so halving magnification would roughly halve the apparent size, while doubling magnification would roughly double the apparent size, keeping unit consistency in mind.

BIOL 271 L2: Lab Exam 2- Requires Respondus LockDown Browser

You are viewing a bacterial sample that is 7 micrometers (µm) in diameter through your oil objective lens which has a magnification of 100x. The eyepiece has a magnification power of 5x. What size will the sample appear through the eyepiece?

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