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Electric charge of any system is...

Electric charge of any system is

A

Zero or neutral

B

Half integral multiple of the least amount of charge

C

Integral multiple of least amount of charge

D

Twice the least amount of charge

Text Solution

AI Generated Solution

The correct Answer is:
### Step-by-Step Solution: 1. **Understanding Electric Charge**: - Electric charge is a fundamental property of matter, present in particles such as protons and electrons. It is responsible for electromagnetic interactions. 2. **Quantization of Charge**: - Electric charge is quantized, meaning it exists in discrete amounts rather than a continuous range. The smallest unit of charge is denoted as \( e \). 3. **Value of Elementary Charge**: - The value of the elementary charge \( e \) is approximately \( 1.6 \times 10^{-19} \) coulombs. This is the charge of a single proton or the negative charge of a single electron. 4. **Integral Multiples**: - The total electric charge \( Q \) of any system can be expressed as an integral multiple of the elementary charge. This can be mathematically represented as: \[ Q = n \cdot e \] where \( n \) is an integer (which can be positive or negative) and \( e \) is the elementary charge. 5. **Conclusion**: - Therefore, the electric charge of any system is an integral multiple of the least amount of charge, which is the elementary charge \( e \). Thus, the correct answer is that the electric charge of any system is integral. ### Final Answer: The electric charge of any system is an integral multiple of the least amount of charge. ---

### Step-by-Step Solution: 1. **Understanding Electric Charge**: - Electric charge is a fundamental property of matter, present in particles such as protons and electrons. It is responsible for electromagnetic interactions. 2. **Quantization of Charge**: - Electric charge is quantized, meaning it exists in discrete amounts rather than a continuous range. The smallest unit of charge is denoted as \( e \). ...
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