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1C charge is equivalent to charge on how much number of protons?6×10187×10198×10209×1021

Question

1C charge is equivalent to charge on how much number of protons?

  • 6×10^18
  • 7×10^19
  • 8×10^20
  • 9×10^21
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Solution

1. Break Down the Problem

To solve the question, we need to find out how many protons correspond to a charge of 1 coulomb. We will use the elementary charge of a proton, which is approximately e=1.6×1019 e = 1.6 \times 10^{-19} coulombs.

2. Relevant Concepts

Using the formula: Number of protons=Total chargeCharge per proton \text{Number of protons} = \frac{\text{Total charge}}{\text{Charge per proton}}

Where:

  • Total charge = 1C 1 \, C
  • Charge per proton (elementary charge) = 1.6×1019C 1.6 \times 10^{-19} \, C

3. Analysis and Detail

Now we can substitute the values into our formula:

Number of protons=1C1.6×1019C \text{Number of protons} = \frac{1 \, C}{1.6 \times 10^{-19} \, C}

Calculating this gives:

Number of protons=11.6×10196.25×1018 \text{Number of protons} = \frac{1}{1.6 \times 10^{-19}} \approx 6.25 \times 10^{18}

4. Verify and Summarize

Now, we need to ensure our result is consistent:

  • The elementary charge is correctly used.
  • The calculation shows 6.25×1018 6.25 \times 10^{18} , which aligns well with the provided options.

Final Answer

1 coulomb of charge is equivalent to approximately 6.25×1018 6.25 \times 10^{18} protons. Therefore, the closest answer to the options provided is 6×1018 6 \times 10^{18} .

This problem has been solved

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