A 4 cm long bacterial cell was magnified and drawn to a dimension of 6 cm. How many times has It been magnified ?

Options

A. `1.5 xx10^3`
B. `15 xx10^4`
C. `1.5 xx10^4`
D. 1.5

Explanation

To find out how many times the bacterial cell has been magnified, we can follow these steps:

### Step 1: Understand the Magnification Formula
The formula for magnification is:
\[ \text{Magnification} = \frac{\text{Magnified Value}}{\text{Original Value}} \]

### Step 2: Identify the Values
From the question:
- Magnified Value = 6 cm (the size after magnification)
- Original Value = 4 cm (the actual size of the bacterial cell)

### Step 3: Substitute the Values into the Formula
Now, we can substitute the values into the magnification formula:
\[ \text{Magnification} = \frac{6 \text{ cm}}{4 \text{ cm}} \]

### Step 4: Calculate the Magnification
Now, perform the division:
\[ \text{Magnification} = \frac{6}{4} = 1.5 \]

### Step 5: Interpret the Result
The result means that the bacterial cell has been magnified 1.5 times. However, since the question may imply a larger scale of magnification typically used in microscopy, we can express this in terms of micrometers (µm) for clarity.

### Step 6: Convert the Original Size to Micrometers
Since 1 cm = 10,000 µm, we can convert the original size:
- Original Value = 4 cm = 40,000 µm

### Step 7: Calculate the Magnification in Micrometers
Now, we can calculate the magnification in terms of micrometers:
\[ \text{Magnification} = \frac{6 \text{ cm} \times 10,000 \text{ µm/cm}}{4 \text{ cm} \times 10,000 \text{ µm/cm}} \]
This simplifies to:
\[ \text{Magnification} = \frac{60,000 \text{ µm}}{40,000 \text{ µm}} = 1.5 \]

### Step 8: Finalize the Answer
Thus, the bacterial cell has been magnified 1.5 times.