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Effective Magnetic Field. An electron in a hydrogen atom is in the 2p state. In a simple model of the atom, assume that the electron circles the proton in an orbit with radius r equal to the
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- Determine the distance between the electron and proton in an atom if the potential energy U of the electron is 10.1 eV (electronvolt, 1 eV = 1.6 × 10-19 J). Give your answer in Angstrom (1 A = 10-10 m). Answer: Choose... +arrow_forwardUse the table to determine the energy in eV of the photon emitted when an electron jumps down from the n = 2 orbit to the n = 1 orbit of a hydrogen atom. Allowed Values of the Hydrogen Electron's Radius and Energy for Low Values of n n rn En 1 0.053 nm −13.60 eV 2 0.212 nm −3.40 eV 3 0.477 nm −1.51 eV 4 0.848 nm −0.85 eV eVarrow_forwardDetermine the distance between the electron and proton in an atom if the potential energy U of the electron is 13.8 ev (electronvolt, 1 eV = 1.6 × 10-19 J). Give your answer in Angstrom (1 A = 10-10 m). Answer: Choose... + Previous pagearrow_forward
- A neutral sodium atom has an ionization potential of 5.1 eV. What is the speed of a free electron that has just barely enough kinetic energy to collisionally ionize a sodium atom in its ground state? What is the speed of a free proton with just enough kinetic energy to collisionally ionize this atom?arrow_forwardAn electron revolves around the nucleus of an atom in a circular orbit of radius 4.0Å with a speed of 6.0 x 10^6 ms-1. Calculate the linear kinetic energy.arrow_forwardIn the Bohr model of the hydrogen atom an e-1 in the ground state has a speed of 2.20×10^6m/s at a radius of 4.29×10^-11m.The charge of an e-1 is 1.60×10^-19c.Find the magnetic dipole moment of the atomarrow_forward
- The velocity of electron in the first Bohr orbit of radius 0.5 A.U. is 2.24 x 106 m/s. Calculate the period of revolution of the electron in the same orbit.arrow_forwardAarrow_forwardThe position of an electron is given by = 3.0tî – 4.0t2+2.0k, wherer is in meter, t is in second. What is the angle between i and +x axis at t=2s. Option 1 Option 2 Option 3 Option 4 Option 5 78.4° 79.4 80.4° 81.4° 82.4°arrow_forward
- c) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable orbits. De Broglie explained what orbits could exist by postulating that electrons (and any- thing else) with momentum p have an associated wavelength λ, given by λ=h/p where h is Planck's constant. i) For an electron orbiting around a proton (the Bohr model), equating the centripetal force with the Coulomb force gives the expression v² = e²/(4πεmer). Calculate the speed of an electron orbiting at the Bohr radius, ˜Â = 0.053 nm. ii) Calculate the momenta and the de Broglie wavelengths of the electron of part (i) and of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. iii) Compare the wavelength for the electron that you obtain in (ii) with the circumference of the orbit. Comment on this comparison. Explain briefly what it implies about the other possible orbits of the Bohr model and how the higher orbits might be predicted.arrow_forwardc) The Bohr model of the atom postulated electrons orbiting around the nucleus in stable orbits. De Broglie explained what orbits could exist by postulating that electrons (and any- thing else) with momentum p have an associated wavelength λ, given by λ = h/p where h is Planck's constant. i) For an electron orbiting around a proton (the Bohr model), equating the centripetal force with the Coulomb force gives the expression v² = e²/(4πmer). Calculate the speed of an electron orbiting at the Bohr radius, rB 0.053 nm. = ii) Calculate the momenta and the de Broglie wavelengths of the electron of part (i) and of a bird (a racing pigeon) that weighs 0.350 kg and flies at 100 km per hour. iii) Compare the wavelength for the electron that you obtain in (ii) with the circumference of the orbit. Comment on this comparison. Explain briefly what it implies about the other possible orbits of the Bohr model and how the higher orbits might be predicted.arrow_forwardConsider a hydrogen atom in which an electron is revolving in n=1 orbit with 6.57x105 revolutions per second. Calculate the magnetic moment of the electron. Answer Choices: a. 9.2x10-24 A - m? b. 6.5x10-24 A m? c. 5.5x10-* A -m? d. 7.4x10-24 A m?arrow_forward
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