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Chapter 38: Q. 32 (page 1115)
How much energy does it take to ionize a hydrogen atom that is in its first excited state?
The excited hydrogen atom's ionization energy will be eV or less.
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Electrons, all with the same speed, pass through a tiny 15-nm-wide slit and create a diffraction pattern on a detector 50 mm behind the slit. What is the electron’s kinetic energy, in eV, if the central maximum has a width of 3.3 mm?
An electron confined in a one-dimensional box emits a 200 nm photon in a quantum jump from n=2 to n =1. What is the length of the box?
An electron with 2.00 eV of kinetic energy collides with the atom shown in Figure Ex 38.24.
a. Is the electron able to excite the atom? Why or why not?
b. If your answer to part a was yes, what is the electron’s kinetic energy after the collision?
Consider a hydrogen atom in stationary state n.
a. Show that the orbital period of an electron in quantum state n is, and find a numerical value for
b. On average, an atom stays in the n = 2 state for 1.6 ns before undergoing a quantum jump to the n = 1 state. On average, how many revolutions does the electron make before the quantum jump?
A ruby laser emits an intense pulse of light that lasts a mere 10 ns. The light has a wavelength of 690 nm, and each pulse has an energy of 500 mJ. a. How many photons are emitted in each pulse? b. What is the rate of photon emission, in photons per second, during the 10 ns that the laser is “on”?
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