Laboratory designers wish to accelerate protons from rest to a speed equal to of the…
PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance
Problem
Laboratory designers wish to accelerate protons from rest to a speed equal to 3.0% of the speed of light before they enter a drift tube. Ignore any relativistic effects at this speed.
The proton has mass mp=1.67×10−27kg and charge e=1.60×10−19C.
(a) Derive an algebraic expression for the minimum potential difference ΔV required to bring a proton at rest to a final speed v.
(b) Calculate the numerical value of ΔV needed for the design requirement stated above.
(c) Justify the treatment of the proton as a non-relativistic particle in this context, making reference to an appropriate quantitative comparison.