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If the mass number of an element is W an...

If the mass number of an element is W and its atomic number is N, then

A

number of `""_(-1)^(0)e=W-N`

B

number of `""_(1)^(1)H=W-N`

C

number of `""_(0)^(1)e=W-N`

D

number of `""_(0)^(1)n=N`

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The correct Answer is:
To solve the question, we need to understand the relationship between mass number (W), atomic number (N), and the number of neutrons in an atom. ### Step-by-Step Solution: 1. **Understand Key Definitions**: - **Mass Number (W)**: The total number of protons and neutrons in the nucleus of an atom. - **Atomic Number (N)**: The number of protons in the nucleus of an atom. 2. **Establish the Relationship**: - The relationship between mass number (W), atomic number (N), and the number of neutrons (Neutrons) can be expressed with the formula: \[ \text{Mass Number} (W) = \text{Atomic Number} (N) + \text{Number of Neutrons} \] 3. **Rearranging the Formula**: - To find the number of neutrons, we can rearrange the formula: \[ \text{Number of Neutrons} = W - N \] 4. **Conclusion**: - Therefore, if the mass number of an element is W and its atomic number is N, the number of neutrons in that element is given by: \[ \text{Number of Neutrons} = W - N \] 5. **Select the Correct Option**: - Based on the options provided in the question, the correct option is: - Option 1: The number of neutrons is equal to \( W - N \). - Option 3: The number of neutrons is equal to \( W - N \) (this option is repeated). - Both options 1 and 3 are correct, but since the question asks for one, we can state that the answer is option 1. ### Final Answer: The number of neutrons in the element is \( W - N \). ---
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