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 relationship between kinetic energy and potential difference
When a charged particle is accelerated through a potential difference \( V \), it gains kinetic energy equal to the work done on it by the electric field. The kinetic energy (KE) gained by a particle is given by:
\[ KE = qV \]
where \( q \) is the charge of the particle and \( V \) is the potential difference.
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