A monoenergetic beam of protons is produced by accelerating protons from rest through…
PHYSICS · Multi-part · A Level · Physics · Particles and radiation · Particles and radiation
Problem
A monoenergetic beam of protons is produced by accelerating protons from rest through a potential difference V. The beam then passes through a single narrow slit whose width is 5.0pm. The proton mass is 1.67×10−27kg and e=1.60×10−19C. Use h=6.63×10−34Js.
(a) Develop an algebraic expression for the accelerating potential V that makes the proton’s wavelength equal to the slit width.
(b) Evaluate the numerical value of V.
(c) If the slit width is doubled while all other conditions remain the same, describe quantitatively how the required accelerating potential changes and explain the physical reasoning behind this dependence.