Question

Calculate magnification of a microscopy drawing, 3mm, number of cells 14, eyepieces lens 10x and objective lens 4x

Answer 1

To calculate the magnification of a microscopy drawing, you need to use the following formula:

\[
\text{Total Magnification} = \text{Eyepiece Magnification} \times \text{Objective Magnification}
\]

In your case, you have:

- Eyepiece magnification = 10x
- Objective magnification = 4x

Now plug these values into the formula:

\[
\text{Total Magnification} = 10 \times 4 = 40x
\]

The total magnification of your microscopy drawing is therefore **40x**.

To find the actual size of one cell, you can use the drawing measurement and the total magnification. Given that the drawing shows 14 cells over a total length of 3 mm, the length per cell in the drawing is:

\[
\text{Length per cell in the drawing} = \frac{\text{Total length}}{\text{Number of cells}} = \frac{3 \text{ mm}}{14} \approx 0.2143 \text{ mm}
\]

Now, to find the actual size of one cell, you'd need to divide this measurement by the total magnification:

\[
\text{Actual size of one cell} = \frac{\text{Length per cell in the drawing}}{\text{Total Magnification}} = \frac{0.2143 \text{ mm}}{40} \approx 0.00536 \text{ mm} \text{ or } 5.36 \text{ µm}
\]

Therefore, the total magnification is **40x** and the estimated actual size of one cell is approximately **5.36 µm**.