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? O classical A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 15. m/s. O quantum O classical A virus with a mass of 8.9 x 10-17 g, 400. nm wide, moving at 1.90 um/s. O quantum O classical A paper airplane with a mass of 4.1 g, 255. mm long, moving at 1.4 m/s. O quantum O classical mass of 1700. kg, 4.6 m long, moving at A car with 140.0 km/h. O quantum

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**Imagining an Alternate Universe with a Different Planck Constant**

Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^6 \, \text{J} \cdot \text{s}\).

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 buckyball with a mass of \(1.2 \times 10^{-21} \, \text{g}\), 0.7 nm wide, moving at 15 m/s. | ○ classical <br> ● quantum |
| A virus with a mass of \(8.9 \times 10^{-17} \, \text{g}\), 400 nm wide, moving at 1.90 μm/s. | ○ classical <br> ● quantum |
| A paper airplane with a mass of 4.1 g, 255 mm long, moving at 1.4 m/s. | ● classical <br> ○ quantum |
| A car with a mass of 1700 kg, 4.6 m long, moving at 140.0 km/h. | ● classical <br> ○ quantum |

This exercise challenges students to consider how different the world would be with an altered Planck constant, affecting how we classify behaviors as quantum or classical.
Transcribed Image Text:**Imagining an Alternate Universe with a Different Planck Constant** Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^6 \, \text{J} \cdot \text{s}\). 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 buckyball with a mass of \(1.2 \times 10^{-21} \, \text{g}\), 0.7 nm wide, moving at 15 m/s. | ○ classical <br> ● quantum | | A virus with a mass of \(8.9 \times 10^{-17} \, \text{g}\), 400 nm wide, moving at 1.90 μm/s. | ○ classical <br> ● quantum | | A paper airplane with a mass of 4.1 g, 255 mm long, moving at 1.4 m/s. | ● classical <br> ○ quantum | | A car with a mass of 1700 kg, 4.6 m long, moving at 140.0 km/h. | ● classical <br> ○ quantum | This exercise challenges students to consider how different the world would be with an altered Planck constant, affecting how we classify behaviors as quantum or classical.
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