A proton strikes another proton at rest with speed `v_(alpha)`. Assume impact parameter to be zero. Their closest distance of approach is (mass of proton is m)

Options

A. `(e^(2))/(2pi epsilonm v_(0)^(2))`
B. `(e^(2))/(pi epsilon_(0)mv_(0)^(2))`
C. `(e^(2))/(mv_(0)^(2))`
D. Zero

Explanation

To find the closest distance of approach between two protons, we can use the principle of conservation of energy. Here’s a step-by-step solution to the problem:

### Step 1: Identify the Initial Conditions
- One proton is at rest, and the other proton is moving with speed \( v_{\alpha} \).
- The mass of each proton is \( m \).

### Step 2: Calculate Initial Kinetic Energy
The initial kinetic energy (KE) of the moving proton can be calculated using the formula:
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