A proton in a storage ring is localised laterally within a circular cross-section of…
CHEMISTRY · Multi-part · ISC · Chemistry · Structure of Atom · Dual nature of matter
Problem
A proton in a storage ring is localised laterally within a circular cross-section of diameter 1.0 Å while travelling along the ring.
(i) Determine the minimum uncertainty in the proton’s speed along its direction of motion. (Proton mass mp=1.67×10−27kg.)
(ii) The designed operating speed of the proton is 3.0×105m s−1. Decide, with numerical justification, whether the speed uncertainty found in part (i) is significant for accelerator operation.