Consider the three electronic transitions in a hydrogen atom shown here, labeled A, B, and C. (c) Calculate the wavelength of the photon emitted for each transition. Do any of these transitions lead to the emission of visible light? If so which one(s)?

Calculate the wavelength of the photon emitted for transition B.

Consider a fictitious one-dimensional system with one electron. The wave function for the electron, drawn below, is c1x2 = sin x from x = 0 to x = 2p. (b) At what value or values of x will there be the greatest probability of finding the electron?

The contour representation of one of the orbitals for the n = 3 shell of a hydrogen atom is shown here. (a) What is the quantum number l for this orbital?

The contour representation of one of the orbitals for the n = 3 shell of a hydrogen atom is shown here. (c) In which of the following ways would you modify this sketch if the value of the magnetic quantum number, ml, were to change? (i) It would be drawn larger, (ii) the number of lobes would change, (iii) the lobes of the orbital would point in a different direction, (iv) there would be no change in the sketch.

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (b) What is the value of the angular momentum quantum number, l?

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (c) What is the largest possible value of the magnetic quantum number, ml?

The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (d) The probability density goes to zero along which of the following planes: xy, xz, or yz?

Four possible electron configurations for a carbon atom are shown below, but only one schematic represents the correct configuration for a carbon atom in its ground state. Which one is the correct electron configuration?

Four possible electron configurations for a nitrogen atom are shown below, but only one schematic represents the correct configuration for a nitrogen atom in its ground state. Which configurations violate the Pauli exclusion principle?

State where in the periodic table these elements appear: (a) elements with the valence-shell electron configuration ns2np5 (b) elements that have three unpaired p electrons (c) an element whose valence electrons are 4s24p1 (d) the d-block elements [Section 6.9]

Label each of the following statements as true or false. a. Visible light is a form of electromagnetic radiation.

Label each of the following statements as true or false. b. Ultraviolet light has longer wavelengths than visible light.

Label each of the following statements as true or false. c. X rays travel faster than microwaves.

Label each of the following statements as true or false. a. The frequency of radiation increases as the wavelength increases. b. Electromagnetic radiation travels through a vacuum at a constant speed, regardless of wavelength. c. Infrared light has higher frequencies than visible light. d. The glow from a fireplace, the energy within a microwave oven, and a foghorn blast are all forms of electromagnetic radiation.

Arrange the following kinds of electromagnetic radiation in order of increasing wavelength: infrared light, green light, red light, radio waves, X rays, ultraviolet light.

(a) What is the frequency of radiation that has a wavelength of 10 µm, about the size of a bacterium?

(d) What distance does electromagnetic radiation travel in 0.38 ps?

A laser pointer used in a lecture hall emits light at 650 nm. What is the frequency of this radiation?

A laser pointer used in a lecture hall emits light at 650 nm. Using Figure 6.4, predict the color associated with this wavelength.

It is possible to convert radiant energy into electrical energy using photovoltaic cells. Assuming equal efficiency of conversion, would infrared or ultraviolet radiation yield more electrical energy on a per-photon basis?

If human height were quantized in 1-foot increments, what would happen to the height of a child as she grew up?

a. The child’s height would never change.

b. The child’s height would continuously get greater.

c. The child’s height would increase in “jumps” of 1 foot at a time.

d. The child’s height would increase in jumps of 6 inches.

(a) Calculate the energy of a photon of electromagnetic radiation whose frequency is 2.94 × 10¹⁴ s^-1.

(b) Calculate the energy of a photon of radiation whose wavelength is 413 nm.

(a) A green laser pointer emits light with a wavelength of 532 nm. What is the frequency of this light?

(b) What is the energy of one of these photons?

(c) The laser pointer emits light because electrons in the material are excited (by a battery) from their ground state to an upper excited state. When the electrons return to the ground state, they lose the excess energy in the form of 532-nm photons. What is the energy gap between the ground state and excited state in the laser material?