Question

Imagine an alternate universe where the value of the Planck constant is 6.6207 x 10^-36 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?
1. A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 38. m/s.
classical or quantum?

Answer 1

See explanation

Step-by-step explanation:

According to Louis de Broglie, matter has an associated wavelength. He was the first scientist to establish the idea of wave-particle duality or wave- particle paradox.

The display of wavelike properties by objects in the universe is dependent on the magnitude of the of the mass of the body. Small objects have a large associated wavelength and can be described completely by quantum mechanics.

A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 38. m/s has a very small mass and significant associated wavelength hence the system can be completely described by quantum mechanics.