Question

include order of magnitude eqn

A 16 lb bowling ball is traveling at 20 miles per hour through a 3. foot wide doorway. For quantum effects to be observed on a human length and time scale what would the minimum order of magnitude of h need to be for the bowling ball to diffract as it passed through the doorway? (1 ft = 0.305 m, 1 lb = 0.453 kg, 1 mi = 1609 m)

Answer 1

Mass of ballo 16 lb- 16. 00.453kg. A 27.248 kg am Length of deorway = 3fta 3x0.305 m2 0.915m. =an Velocity: 20 milea 20X1609m - 0.894 mlse av [1 Hour = 36008] according to uncertainity principle. oxo ob > The 80 he ax. Sp. 4T Apa mar putting values from above give ha 0.915m x 7,24858 (0.894 m/s) x 45 he 74.496 kg m/s = 74.498 JS = 7,45810 / x 10²13 with given conditions the Order of h is / 10² | So