Question

Imagine an alternate universe where the value of the Planck constant is 6.62607* 10-J's. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics? object quantum or classical? classical A mosquito with a mass of 1.4 mg, 11.0 mm long, moving at 1.2 m/s. O quantum A car with a mass of 1800. kg, 4.4 m long, moving at 97.0 km/h. classical quantum O classical A bacterium with a mass of 4.0 pg, 10.0 um long, moving at 7.00 m/s O quantum O classical A paper airplane with a mass of 4.8 9, 260 mm long, moving at 3.3 m/s O quantum

Answer 1

To answer this question, you have to calculated de Broglie wavelength and compare this wavelength with the size of the object. That de Broglie equation or de Broglie wavelengte (2) > size of object quantum mechanics It de Broglie wavelength (4) < size of object classical mechanics 0 Given, m = 1.4 ong = 1.43 V = 1.2 mis Putting in equation , we get bolust he 6.62607x1072) Img = 10 kg) J= kg m²53 6.62607X107T-S wa 1.4x10-6 kg x 1.2 mis h = 0.339 m = quantum SD size of mosquito = 11.0 mm lase h> l quantum quantum Answer all 6 Liven, m=1800kg s az ox 1089 mls = 26.9 m/s son = V=97.0km/h 97.0 3664 6 62607 x 16 7 Jbs 1800Kg x 26.9 m/s h = 1.37 x 10 Ilm Size of car l = 44 m

All classical Here, Answer classical m. 4. 0pg - 4.0*10's g kg V = 7.00 um ls [ 1pg = 100 kg . = 7:00x10 6 mis a 6.62607 x 107 IS " 4.0x10-15 kg x 7.60 x 10 m/s Now, ha 2.37x 1015 m size of bacterium (1) = loum= 10x10 om -10 sm Here, hol & quantum Answer quantum m = 4.89 = 4.8. V=3.3 mis I 6.62607X107 " 4.8x103 kg x 3.3 mis h = 4.18x105m size of paper airplane (l) = 260 mm = 260 x 10 m = 0.260 m hLl classical Hence, Answer a classical