Imagine an alternate universe where the value of the Planck constant is 6.62607
ID: 1053393 • Letter: I
Question
Imagine an alternate universe where the value of the Planck constant is 6.62607 times 10^10 J middot 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? A mosquito with a mass of 2.2 mg, 8.8 mm long, moving at classical 1.3 m/s. classical quantum An atom with a mass of 1.0 times 10^-26 kg, 86. pm wide, . classical moving at 237. m/s. classical quantum A paper airplane with a mass of 5.9 g, 220, mm long, classical moving at 1.3 m/s. classical quantum An iceberg with a mass of 3.1 times 10^8 kg, 60. m wide, classical moving at 0.67 km/h. classical quantumExplanation / Answer
In our universe value of plank constant is too low so only small microscopic objects have measurable de-broglie wavelength hence dual nature. While macroscopic objects have negligible wavelength and only particle nature so classic mechanics can be applied.
If the value of plank constant is too high. Then even macroscopic particles have measurable de Broglie wavelength. So they will have dual nature, hence quantum mechanics would have to be applied for them also.
Hence for all the objects given in above questions quantum mechanics can be applied.