In the realm of measurement, understanding the difference between units is crucial for accurate comparison and analysis. When comparing 100 nm (nanometers) to 0.01 um (micrometers), it's essential to recognize the relationship between these units to determine whether a statement about their size comparison is true or false.
Let's begin by understanding the units involved:
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Nanometers (nm): A nanometer is one billionth of a meter (1 nm = 10^-9 meters). It's a unit used to express dimensions on an atomic scale, crucial in fields like chemistry, physics, and materials science.
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Micrometers (um or μm): A micrometer is one millionth of a meter (1 um = 10^-6 meters). It's used to measure dimensions that are larger than nanometers but smaller than millimeters, commonly used in biology, medicine, and materials science.
Now, comparing 100 nm to 0.01 um:
- 100 nm: This is 100 times 10^-9 meters, which equals 10^-7 meters.
- 0.01 um: Given that 1 um = 10^-6 meters, 0.01 um equals 0.01 * 10^-6 meters = 10^-8 meters.
Comparing the two:
- 100 nm = 10^-7 meters
- 0.01 um = 10^-8 meters
Since 10^-7 meters is larger than 10^-8 meters, 100 nm is larger than 0.01 um.
Therefore, any statement claiming 0.01 um is larger than 100 nm would be FALSE.