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A body has a positive charge of 8xx10^(-...

A body has a positive charge of `8xx10^(-19)C`. It has :

A

an excess of 5 electrons

B

a deficiency of 5 electrons

C

an excess of 8 electrons

D

a deficiency of 8 electrons

Text Solution

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The correct Answer is:
To solve the problem, we need to determine how many electrons are deficient in a body that has a positive charge of \(8 \times 10^{-19} \, \text{C}\). ### Step-by-Step Solution: 1. **Understanding Charge**: A positive charge indicates a deficiency of electrons. Each electron carries a charge of approximately \( -1.6 \times 10^{-19} \, \text{C} \). 2. **Setting Up the Equation**: The total positive charge of the body can be expressed as: \[ Q = n \cdot e \] where: - \( Q \) is the total positive charge (\(8 \times 10^{-19} \, \text{C}\)), - \( n \) is the number of electrons missing, - \( e \) is the charge of one electron (\(1.6 \times 10^{-19} \, \text{C}\)). 3. **Rearranging the Equation**: We can rearrange the equation to find \( n \): \[ n = \frac{Q}{e} \] 4. **Substituting the Values**: Now, substituting the known values into the equation: \[ n = \frac{8 \times 10^{-19} \, \text{C}}{1.6 \times 10^{-19} \, \text{C}} \] 5. **Calculating \( n \)**: Performing the division: \[ n = \frac{8}{1.6} = 5 \] 6. **Conclusion**: Therefore, the body has a deficiency of 5 electrons. ### Final Answer: The body has a deficiency of 5 electrons.

To solve the problem, we need to determine how many electrons are deficient in a body that has a positive charge of \(8 \times 10^{-19} \, \text{C}\). ### Step-by-Step Solution: 1. **Understanding Charge**: A positive charge indicates a deficiency of electrons. Each electron carries a charge of approximately \( -1.6 \times 10^{-19} \, \text{C} \). 2. **Setting Up the Equation**: ...
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