You Have A Particle Of Length 68 Nm. What Is This In Meters?A. 6.8 × 10 − 8 M 6.8 \times 10^{-8} \, \text{m} 6.8 × 1 0 − 8 M B. 6.8 × 10 10 M 6.8 \times 10^{10} \, \text{m} 6.8 × 1 0 10 M C. 6.8 × 10 14 M 6.8 \times 10^{14} \, \text{m} 6.8 × 1 0 14 M D. 6.8 × 10 − 11 M 6.8 \times 10^{-11} \, \text{m} 6.8 × 1 0 − 11 M
Understanding the Basics of Unit Conversion
In physics, unit conversion is a fundamental concept that helps us express physical quantities in different units. This is essential for accurate calculations and comparisons. One such conversion is from nanometers (nm) to meters (m). In this article, we will explore how to convert a particle of length 68 nm to meters.
The Importance of Unit Conversion in Physics
Unit conversion is a critical aspect of physics that enables us to work with different units of measurement. It is essential to understand the relationships between various units, such as meters, centimeters, millimeters, micrometers, and nanometers. By converting between these units, we can perform calculations and comparisons with ease.
Converting Nanometers to Meters
To convert nanometers to meters, we need to understand the relationship between these two units. One nanometer (nm) is equal to one billionth of a meter (m). This can be expressed mathematically as:
1 nm = 10^-9 m
Using this relationship, we can convert a particle of length 68 nm to meters.
Calculating the Length in Meters
To calculate the length in meters, we can multiply the length in nanometers by the conversion factor (10^-9 m/nm).
Length in meters = 68 nm x 10^-9 m/nm = 6.8 x 10^-8 m
Evaluating the Answer Options
Now that we have calculated the length in meters, let's evaluate the answer options.
A.
This option matches our calculated answer.
B.
This option is incorrect, as it represents a much larger value than our calculated answer.
C.
This option is also incorrect, as it represents an even larger value than option B.
D.
This option is incorrect, as it represents a much smaller value than our calculated answer.
Conclusion
In conclusion, converting a particle of length 68 nm to meters involves understanding the relationship between nanometers and meters. By using the conversion factor (10^-9 m/nm), we can calculate the length in meters. The correct answer is option A, which represents the calculated value of 6.8 x 10^-8 m.
Key Takeaways
- One nanometer (nm) is equal to one billionth of a meter (m).
- To convert nanometers to meters, multiply the length in nanometers by the conversion factor (10^-9 m/nm).
- The correct answer is option A, which represents the calculated value of 6.8 x 10^-8 m.
Further Reading
If you want to learn more about unit conversion in physics, check out the following resources:
Practice Problems
Try converting the following lengths from nanometers to meters:
- 25 nm
- 150 nm
- 500 nm
Use the conversion factor (10^-9 m/nm) to calculate the length in meters.
Q: What is the relationship between nanometers and meters?
A: One nanometer (nm) is equal to one billionth of a meter (m). This can be expressed mathematically as:
1 nm = 10^-9 m
Q: How do I convert nanometers to meters?
A: To convert nanometers to meters, multiply the length in nanometers by the conversion factor (10^-9 m/nm). For example, to convert 68 nm to meters, we can multiply 68 by 10^-9 m/nm.
Length in meters = 68 nm x 10^-9 m/nm = 6.8 x 10^-8 m
Q: What is the correct answer for converting 68 nm to meters?
A: The correct answer is option A, which represents the calculated value of 6.8 x 10^-8 m.
Q: Why is unit conversion important in physics?
A: Unit conversion is a critical aspect of physics that enables us to work with different units of measurement. It is essential to understand the relationships between various units, such as meters, centimeters, millimeters, micrometers, and nanometers. By converting between these units, we can perform calculations and comparisons with ease.
Q: How do I convert other units of length to meters?
A: To convert other units of length to meters, you can use the following conversion factors:
- 1 cm = 10^-2 m
- 1 mm = 10^-3 m
- 1 μm = 10^-6 m
- 1 nm = 10^-9 m
For example, to convert 25 cm to meters, we can multiply 25 by 10^-2 m/cm.
Length in meters = 25 cm x 10^-2 m/cm = 0.25 m
Q: What are some common applications of unit conversion in physics?
A: Unit conversion is used in a wide range of applications in physics, including:
- Calculating distances and velocities
- Determining the energy of particles
- Understanding the behavior of materials under different conditions
- Performing calculations in different units of measurement
Q: How can I practice unit conversion in physics?
A: You can practice unit conversion in physics by trying the following exercises:
- Convert different lengths from nanometers to meters
- Convert different lengths from centimeters to meters
- Convert different lengths from millimeters to meters
- Convert different lengths from micrometers to meters
Use the conversion factors provided above to calculate the length in meters.
Q: What are some resources for learning more about unit conversion in physics?
A: Some recommended resources for learning more about unit conversion in physics include:
- Unit Conversion in Physics
- Conversion Factors
- Unit Conversion Calculator
- Physics textbooks and online resources
Q: Can I use a calculator to convert units in physics?
A: Yes, you can use a calculator to convert units in physics. However, it is also essential to understand the underlying conversion factors and relationships between units. This will help you to perform calculations and conversions with confidence and accuracy.
Q: What are some common mistakes to avoid when converting units in physics?
A: Some common mistakes to avoid when converting units in physics include:
- Failing to use the correct conversion factor
- Not understanding the relationship between units
- Not checking the units of the answer
- Not using a calculator or conversion tool to check the answer
By avoiding these mistakes, you can ensure accurate and reliable results in your calculations and conversions.