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Exam 19: The Atom

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Question 21

Multiple Choice

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Which of these statements accurately describes how the energy of an electron in the third orbit in a helium atom differs from the total energy of an electron in the third orbit in a hydrogen atom?

A) The energy of the electron in the third orbit in the helium atom is 2 times greater than the energy of the electron in the hydrogen atom.
B) The energy of the electron in the third orbit in the helium atom is 4 times greater than the energy of the electron in the hydrogen atom.
C) The energy of the electron in the third orbit in the helium atom is half the energy of the electron in the hydrogen atom.
D) The energy of the electron in the third orbit in the helium atom is one-quarter the energy of the electron in the hydrogen atom.

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Question 22

Multiple Choice

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What is the work function, E_A, of a metal from which electrons are ejected with kinetic energy E_kin = 0.5 eV, and the incident light has a wavelength of ë = 460 nm? [h = 6.63 × 10^-34 J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10^-19 J]

A) 1.7 eV
B) 2.2 eV
C) 4.2 eV
D) 4.7 eV

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Question 23

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What is the ratio of the de Broglie wavelength for an electron (m_e = 9.1 × 10^-31 kg) moving at a speed of 1.70 × 10⁴ m/s and a ball of a mass = 0.5 kg moving at a speed of 13 m/s? [h = 6.63 × 10^-34 Js]

Which transition of the electron in a hydrogen atom results in absorption of the shortest wavelength in the Lyman series? Calculate the wavelength. [R_H = 3.29 × 10¹⁵ Hz, c = 3 × 10⁸ m/s]

Net force causing circular uniform motion is along the path.

Which of these events happens when an electron transitions from the n = 2 to the n = 4 level in a hydrogen atom?

Electrons do NOT lose energy via radiation when they circle the atomic nucleus.

Which of the following occurs when an electron transitions from a lower orbit to a higher one?

What is the longest wavelength of photon emitted during the transition of an electron in a hydrogen atom in the Bracket series? [R_H = 3.29 × 10¹⁵ Hz]

What is the ionization energy of a hydrogen atom? [h = 6.63 × 10^-34 J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10^-19 J]

What does the kinetic energy of electrons emitted in the photoelectric effect depend on?

What is the critical frequency of an incoming light that ejects electrons from a metal whose work function is E_A = 5.02 eV? [h = 6.63 × 10^-34 J s, 1 eV = 1.6 × 10^-19 J]

What is the work function of a metal from which electrons are ejected with kinetic energy E_kin = 1.88 eV, and incident light has a wavelength of ë = 660 nm? [h = 6.63 × 10^-34 J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10^-19 J]

What is kinetic energy of an electron ejected from a sodium surface, whose work function is E_A = 2.28 eV, when it is illuminated with light of frequency f = 1.88 × 10¹⁵ Hz? [h = 6.63 × 10^-34 J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10^-19 J]

What is the kinetic energy of ejected electrons from a silver surface with work function E_A = 4.73 eV if it is illuminated with light at a frequency of f = 2.28 × 10¹⁵ Hz? [h = 6.63 × 10^-34 J s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10^-19 J]

When an electron transfers between levels in an atom, the wavelength of an emitted or absorbed photon depends only on the energy of the level from which the electron transfers.

The total energy of an electron in the second level (quantum number n = 2) is 2 times higher than the energy on the ground level (n = 1).

Which transition of the electron in a hydrogen atom results in emission of the highest frequency in the Balmer series? Calculate the frequency. [R_H = 3.29 × 10¹⁵ Hz]

What is the highest frequency of photon emitted during the transition of an electron in a hydrogen atom in the Bracket series? [R_H = 3.29 × 10¹⁵ Hz]

Which of these scientists discovered the electron?