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 An airplane with a mass of 1.90 x 104 kg, 13.0 m long, moving at 2200. km/h. An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10 15 m wide, moving at 13. km/s. A turtle with a mass of 790. g, 30. cm long, moving at 1.8 cm/s. A mosquito with at 3.5 m/s. mass of 1.0 mg, 9.9 mm long, moving quantum or classical? O classical O quantum O classical O quantum O classical O quantum O classical O quantum X

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Chapter1: Chemical Foundations
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Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^{-7} \, \text{J} \cdot \text{s}\).

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? |
|--------|-----------------------|
| An airplane with a mass of \(1.90 \times 10^4 \, \text{kg}\), 13.0 m long, moving at 2200. km/h. | ○ classical <br> ○ quantum |
| An alpha particle with a mass of \(6.6 \times 10^{-27} \, \text{kg}\), \(8.0 \times 10^{-15} \, \text{m}\) wide, moving at 13. km/s. | ○ classical <br> ○ quantum |
| A turtle with a mass of 790. g, 30. cm long, moving at 1.8 cm/s. | ○ classical <br> ○ quantum |
| A mosquito with a mass of 1.0 mg, 9.9 mm long, moving at 3.5 m/s. | ○ classical <br> ○ quantum |
Transcribed Image Text:Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^{-7} \, \text{J} \cdot \text{s}\). 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? | |--------|-----------------------| | An airplane with a mass of \(1.90 \times 10^4 \, \text{kg}\), 13.0 m long, moving at 2200. km/h. | ○ classical <br> ○ quantum | | An alpha particle with a mass of \(6.6 \times 10^{-27} \, \text{kg}\), \(8.0 \times 10^{-15} \, \text{m}\) wide, moving at 13. km/s. | ○ classical <br> ○ quantum | | A turtle with a mass of 790. g, 30. cm long, moving at 1.8 cm/s. | ○ classical <br> ○ quantum | | A mosquito with a mass of 1.0 mg, 9.9 mm long, moving at 3.5 m/s. | ○ classical <br> ○ quantum |
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