An `alpha` - particle and a proton are accelerated through same potential difference. Find the ratio `(v_(a)//v_(p))` of velocities acquired by two particles.

Explanation

To find the ratio of velocities acquired by an alpha particle and a proton when both are accelerated through the same potential difference, we can follow these steps:

### Step 1: Understand the Charges and Masses
- An alpha particle consists of 2 protons and 2 neutrons, hence it has a charge of \( Q_a = 2e \) (where \( e \) is the charge of a proton).
- A proton has a charge of \( Q_p = e \).
- The mass of the alpha particle is \( m_a = 4m_p \) (where \( m_p \) is the mass of the proton).

### Step 2: Apply the Work-Energy Theorem
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