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Calculate distance of closet approach by an `alpha `-particle of `KE=2.5 MeV` being scattered by gold nucleus `(Z=79)`.

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To calculate the distance of closest approach by an alpha particle with a kinetic energy of 2.5 MeV being scattered by a gold nucleus (Z=79), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Concept**: The distance of closest approach (R) can be calculated using the formula derived from the conservation of energy. The kinetic energy (KE) of the alpha particle is converted into electrostatic potential energy at the point of closest approach. 2. **Formula**: The formula to calculate the distance of closest approach is given by: \[ ...
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