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 2.0 mg, 2.1 mm wide, moving at 8.3 m/s. O quantum O classical A human with a mass of 48. kg, 1.4 m high, moving at 1.6 m/s. O quantum O classical A paper airplane with a mass of 4.4 g, 185. mm long, moving at 3.7 m/s. O quantum O classical A buckyball with a mass of 1.2 x 1021 g. 0.7 nm wide, moving at 32. m/s. O quantum

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 2.0 mg, 2.1 mm wide, moving at 8.3 m/s. O quantum O classical A human with a mass of 48. kg, 1.4 m high, moving at 1.6 m/s. O quantum O classical A paper airplane with a mass of 4.4 g, 185. mm long, moving at 3.7 m/s. O quantum O classical A buckyball with a mass of 1.2 x 1021 g. 0.7 nm wide, moving at 32. m/s. O quantum

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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7a
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (℗), the magnetic quantum number (m₂), and the spin quantum number (mg) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. n = 3, l = 2, me = 2, m² = − 1/1/2 n = 3, l = −2, mę = 2, ms = + 1/2 n = 4, l = 2₁ m₂ = 3, ms = + 1/2 n = 5, l = 5, m₂ = 1, ms = + ½/2 n = 2, l = 1, mę = 1, m² = 0 n = 5, l = 1, mę = 0, m§ = − ---1/21
Imagine an alternate universe where the value of the Planck constant is 6.62607 × 10-40 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 A raindrop with a mass of 3.0 mg, 0.8 mm wide, moving at 6.6 m/s. An eyelash mite with a mass of 9.1 µg, 260 pm wide, moving at 44. um/s. An alpha particle with a mass of 6.6 x 10-27 kg, 8.0 x 10 15 m wide, moving at 16. km/s. A car with a mass of 1300. kg, 4.6 m long, moving at 134.0 km/h. quantum or classical? classical O quantum oooooo O classical O quantum O classical O quantum O classical O quantum X S
What wavelength of radiation has photons of energy 6.12×10−19 J ? Express your answer with the appropriate units.
Electron microscopes operate on the fact thatelectrons act as waves. A typical electron kinetic energy is100 keV (1 eV 5 1.602 3 10219 J). What is the wavelength ofsuch an electron? (Ignore relativistic effects.)
Decide if the following set of quantum numbers is permissible. If not, indicate which value is wrong. n, l, ml, ms 2, 0, 0, +1/2
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (), the magnetic quantum number (m₂), and the spin quantum number (mg) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. oooooo ☐ n = 3₂ l = 2, me = 2, ms = + 1²/2 n = 4, l = 2, me = 3, mg = − 1/1/ n = 3, l = —2, m₂ = 2, mg = − ½/2 n = 5, l = 4, me = 1, ms = - 1²/22 n = 2, l = 1, mę = 0, ms = 0 n = 4, l = 4, m₂ = −1, ms = − 1/12
Imagine an alternate universe where the value of the Planck constant is 6.62607 × 108 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 A buckyball with a mass of 1.2 x 10-21 g, 0.7 nm wide, moving at 27. m/s. A mosquito with a mass of 2.1 mg, 11.5 mm long, moving at 1.8 m/s. An eyelash mite with a mass of 14.2 µg, 340 μm wide, moving at 44. μm/s. An airplane with a mass of 1.29 x 104 kg, 13.0 m long, moving at 500. km/h. quantum or classical? classical quantum O classical quantum classical quantum classical quantum
Calculate the wavelength of light emitted when an electron falls from the 96 orbit of the hydrogen atom. Such species are known as high Rydberg atoms. They are detected in astronomy and are more and more studied in the 3. n=97 orbit to the n = laboratory.
Express the speed of the electron in the Bohr model in terms of the fundamental constants (me, e, h, 0), the nuclear charge and the quantum number n. Evaluate the speed of an electron in the ground states of He+ ion and U91+. Compare these speeds with the speed of light c. As the speed of an object approaches the speed of light, relativistic effects become important. In which kinds of atoms do you expect relativistic effects to be greatest?