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Define the distance of closest approach....

Define the distance of closest approach. An `alpha`-particle of kinetic enegy `'K'` is bombarded on a thin gold foil. The distance of the closest approach is `'r'` . What will be the distance of closest approach for an `alpha`-particle of double the kinetic energy ?

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### Step-by-Step Solution: 1. **Define the Distance of Closest Approach**: The distance of closest approach refers to the minimum distance between an incoming charged particle (like an alpha particle) and a nucleus, at which the kinetic energy of the particle is completely converted into electrostatic potential energy due to the repulsion from the nucleus. At this point, the particle momentarily comes to rest before being repelled. 2. **Expression for Distance of Closest Approach**: The distance of closest approach \( r \) for an alpha particle with kinetic energy \( K \) can be expressed as: \[ ...
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