In that universe, which of the following objects would require quantum mechanics

Question

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?

Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10-30 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 O quantum classical quantum classical O quantum O classical quantum A car with a mass of 1500. kg, 4.3 m long, moving at 79.0 km/h A buckyball with a mass of 1.2 x 1021 g, 0.7 nm wide, moving at 28. m/s. An eyelash mite with a mass of 11.7 g, 225 m wide, moving at 45, m/s. A raindrop with a mass of 33.0 mg, 2.7 mm wide, moving at 7.1 m/s en

Explanation / Answer

According de-Broglie's concept,

Wave length = h / (m * v)

So, Wave nature is iversely proportional to mass and velocity of the object.

Smaller the mass and velocity of the object higher is its wave nature and can be studied by quantum mechanics.

(a) Calssical due to larger mass

(b) Quantum due to smaller mass

(c) Quantum due to smaller mass and velocity

(d) Classical due to some how high mass and velocity

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