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Answer :
To solve the problem of determining the weight that corresponds to a certain number of dust particles, we need to understand the relationship between the weight of one dust particle and the total desired weight. Here's how we can work through it step-by-step:
1. Understand the given values:
- The weight of one dust particle is [tex]\(7.42 \times 10^{-10}\)[/tex] kilograms.
2. Examine the options:
- We need to find out which of the given weights could be equivalent to the combined weight of a specific number of particles. The key values to evaluate are:
- [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms
- [tex]\(3.71 \times 10^{-3}\)[/tex] kilograms
- [tex]\(37.1 \times 10^{-3}\)[/tex] kilograms
- [tex]\(37.1 \times 10^{-4}\)[/tex] kilograms
3. Determine the weight of particles:
- The correct answer options suggest a weight that corresponds to a specific number of particles.
4. Calculate and verify:
- The calculation reveals that with 500,000 particles, we achieve a total weight of [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
5. Conclusion:
- The combined weight of the dust particles that match the given weight correctly is represented by [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
Therefore, the correct selection from the given options is option A, which is [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
1. Understand the given values:
- The weight of one dust particle is [tex]\(7.42 \times 10^{-10}\)[/tex] kilograms.
2. Examine the options:
- We need to find out which of the given weights could be equivalent to the combined weight of a specific number of particles. The key values to evaluate are:
- [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms
- [tex]\(3.71 \times 10^{-3}\)[/tex] kilograms
- [tex]\(37.1 \times 10^{-3}\)[/tex] kilograms
- [tex]\(37.1 \times 10^{-4}\)[/tex] kilograms
3. Determine the weight of particles:
- The correct answer options suggest a weight that corresponds to a specific number of particles.
4. Calculate and verify:
- The calculation reveals that with 500,000 particles, we achieve a total weight of [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
5. Conclusion:
- The combined weight of the dust particles that match the given weight correctly is represented by [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
Therefore, the correct selection from the given options is option A, which is [tex]\(3.71 \times 10^{-4}\)[/tex] kilograms.
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