Certainly! Let's find the magnification scale used based on the given information:
1. Identify the Actual Diameter:
- The actual diameter of the grain of sand is given as 60 micrometers (μm).
2. Identify the Observed Diameter:
- The diameter under the microscope is given as 48,000 micrometers (μm).
3. Determine the Magnification Scale:
- Magnification scale is calculated by dividing the observed diameter by the actual diameter.
Here's the formula:
[tex]\[
\text{Magnification Scale} = \frac{\text{Observed Diameter}}{\text{Actual Diameter}}
\][/tex]
Substitute the given values into the formula:
[tex]\[
\text{Magnification Scale} = \frac{48,000 \,\text{μm}}{60 \,\text{μm}}
\][/tex]
4. Perform the Division:
- [tex]\(\frac{48,000}{60} = 800\)[/tex]
5. Conclusion:
- The magnification scale used by the microscope is 800.
Therefore, the magnification scale is 800. The grain of sand, which has an actual diameter of 60 μm, appears to be 48,000 μm under the microscope, indicating a magnification of 800 times its actual size.
