Final answer:
The velocity of a proton accelerated by a 50.0 MV potential can be calculated using the equation v = √(2qV/m). Plugging in the values for the charge and mass of the proton, we find that the velocity is 2.10 x 10^7 m/s.
Step-by-step explanation:
The velocity of a proton accelerated by a 50.0 MV potential can be calculated using the equation:
v = √(2qV/m)
where v is the velocity, q is the charge of the proton, V is the potential difference, and m is the mass of the proton.
Given that the charge of a proton is 1.6 x 10-19 C and its mass is 1.67 x 10-27 kg, we can plug in the values:
v = √(2 * (1.6 x 10-19 C) * (50.0 x 10^6 V) / (1.67 x 10-27 kg))
Calculating this gives us the velocity of the proton as 2.10 x 10^7 m/s, so the correct option is (A) (2.10 x 10^7) m/s.