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The bombarment of alpha - particle on ""...

The bombarment of `alpha` - particle on `""_7N^14`, emits proton then new atom will be :

A

`""_8O^17`

B

`""_8O^16`

C

`""_6C^14`

D

Ne

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of determining the new atom formed when an alpha particle bombards nitrogen-14 (\( _7N^{14} \)) and emits a proton, we can follow these steps: ### Step 1: Write the reaction equation When an alpha particle (\( _2He^4 \)) bombards nitrogen-14 (\( _7N^{14} \)), the reaction can be represented as: \[ _7N^{14} + _2He^4 \rightarrow X + _1H^1 \] Here, \( X \) is the new atom formed, and \( _1H^1 \) represents the emitted proton. ### Step 2: Determine the total atomic number and mass number on the reactant side - The atomic number of nitrogen (\( _7N^{14} \)) is 7. - The atomic number of the alpha particle (\( _2He^4 \)) is 2. - Therefore, the total atomic number on the reactant side is: \[ 7 + 2 = 9 \] - The mass number of nitrogen is 14, and the mass number of the alpha particle is 4. Thus, the total mass number on the reactant side is: \[ 14 + 4 = 18 \] ### Step 3: Set up the equations for the product side Let the atomic number of the new atom \( X \) be \( Z \) and its mass number be \( A \). The emitted proton has an atomic number of 1 and a mass number of 1. Therefore, we can write: - For atomic numbers: \[ Z + 1 = 9 \implies Z = 8 \] - For mass numbers: \[ A + 1 = 18 \implies A = 17 \] ### Step 4: Identify the new atom The new atom \( X \) has an atomic number of 8 and a mass number of 17. This corresponds to oxygen, which is represented as: \[ _8O^{17} \] ### Conclusion The new atom formed after the bombardment of an alpha particle on nitrogen-14 that emits a proton is: \[ \boxed{_8O^{17}} \]
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