- 39 Imagine an alternate universe where the value of the Planck constant is 6.62607 x 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? O classical A raindrop with a mass of 22.0 mg, 6.4 mm wide, moving at 8.5 m/s. O quantum classical An iceberg with a mass of 2.5 x 108 kg, 120. n wide, moving at 0.73 km/h. O quantum O classical An atom with a mass of 1.0 x 10-27 kg, 185. pm wide, moving at 357. m/s. O quantum O classical A bacterium with a mass of 4.0 pg, 8.0 um long, moving at 2.00 um/s. O quantum

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Chapter1: Chemical Foundations
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Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^{-39} \, \text{J} \cdot \text{s}\).

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? |
|---|---|
| A raindrop with a mass of 22.0 mg, 6.4 mm wide, moving at 8.5 m/s. | ○ Classical (selected) <br> ○ Quantum |
| An iceberg with a mass of \(2.5 \times 10^8\) kg, 120. m wide, moving at 0.73 km/h. | ○ Classical <br> ○ Quantum |
| An atom with a mass of \(1.0 \times 10^{-27}\) kg, 185. pm wide, moving at 357. m/s. | ○ Classical <br> ○ Quantum |
| A bacterium with a mass of 4.0 pg, 8.0 μm long, moving at 2.00 μm/s. | ○ Classical <br> ○ Quantum |
Transcribed Image Text:Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^{-39} \, \text{J} \cdot \text{s}\). 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? | |---|---| | A raindrop with a mass of 22.0 mg, 6.4 mm wide, moving at 8.5 m/s. | ○ Classical (selected) <br> ○ Quantum | | An iceberg with a mass of \(2.5 \times 10^8\) kg, 120. m wide, moving at 0.73 km/h. | ○ Classical <br> ○ Quantum | | An atom with a mass of \(1.0 \times 10^{-27}\) kg, 185. pm wide, moving at 357. m/s. | ○ Classical <br> ○ Quantum | | A bacterium with a mass of 4.0 pg, 8.0 μm long, moving at 2.00 μm/s. | ○ Classical <br> ○ Quantum |
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