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Chapter 39: Q4P (page 1215)
An electron, trapped in a one-dimensional infinite potential well 250 pm wide, is in its ground state. How much energy must it absorb if it is to jump up to the state with ?
90.3 eV
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What is the ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Lyman series?
An electron is trapped in a one-dimensional infinite potential well that is 100 pm wide; the electron is in its ground state. What is the probability that you can detect the electron in an interval of width centered at x = (a) 25 pm, (b) 50 pm, and (c) 90 pm? (Hint: The interval x is so narrow that you can take the probability density to be constant within it.)
figure 39-28 shows the energy-level diagram for a finite, one-dimensional energy well that contains an electron. The nonquantized region begins at . Figure 39-28b gives the absorption spectrum of the electron when it is in the ground state鈥攊t can absorb at the indicated wavelengths: and for any wavelength less than . What is the energy of the first excited state?
What are the (a) energy, (b) magnitude of the momentum, and (c) wavelength of the photon emitted when a hydrogen atom undergoes a transition from a state with n = 3 to a state with n = 1 ?
How much work must be done to pull apart the electron and the proton that make up the hydrogen atom if the atom is initially in (a) its ground state and (b) the state with n = 2 ?
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