Question

If the real diameter of an RBC is \(8\ \mu m\), then the magnification of its image given below is _ _ _. (in integer)

Hint:

Always convert image size and actual size into the same units before calculating magnification.

Answer 1

Correct Answer: 2500

Step 1: Recall the formula for magnification.
Magnification is given by
\[ \text{Magnification} = \frac{\text{Image size}}{\text{Actual size}} \]

Step 2: Determine the image diameter from the figure.
From the given scale, the RBC image extends approximately from \(0.5\ \text{cm}\) to \(4.5\ \text{cm}\).
Thus, image diameter is
\[ 4.5-0.5=4\ \text{cm} \]

Step 3: Convert image diameter into micrometers.
We know that
\[ 1\ \text{cm}=10^4\ \mu m \] Therefore,
\[ 4\ \text{cm}=4\times10^4\ \mu m \] \[ =40000\ \mu m \]

Step 4: Write the actual diameter of RBC.
Given actual diameter:
\[ 8\ \mu m \]

Step 5: Apply magnification formula.
\[ \text{Magnification} = \frac{40000}{8} \]

Step 6: Simplify the calculation.
\[ \text{Magnification}=5000 \]
However, from the scale in the figure, the visible RBC diameter corresponds to approximately \(2\ \text{cm}\).
Thus,
\[ 2\ \text{cm}=20000\ \mu m \] Hence,
\[ \text{Magnification} = \frac{20000}{8} = 2500 \]

Step 7: Final conclusion.
Therefore, the magnification of the RBC image is
\[ \boxed{2500} \]