Which of the following is a characteristic of the Bohr model of the hydrogen ato

Question

Which of the following is a characteristic of the Bohr model of the hydrogen atom?

a)As the energy level (n) increases the adjacent energy levels do not follow a pattern. The energy differences for adjacent lev

els may converge, diverge, or remain constant.

b)As the energy level (n) increases the energy difference between adjacent energy levels remains constant.

c)As the energy level (n) increases the adjacent energy levels converge and get closer together in energy.

d)As the energy level (n) increases the adjacent energy levels diverge and get farther apart in energy.

a)As the energy level (n) increases the adjacent energy levels do not follow a pattern. The energy differences for adjacent lev

els may converge, diverge, or remain constant.

b)As the energy level (n) increases the energy difference between adjacent energy levels remains constant.

c)As the energy level (n) increases the adjacent energy levels converge and get closer together in energy.

d)As the energy level (n) increases the adjacent energy levels diverge and get farther apart in energy.

Explanation / Answer

c) As the energy level (n) increases the adjacent energy levels converge and get closer together in energy.

The series converge because as an electron goes to higher energy levels, it is farther
away from the nucleus and so the nucleus attracts it with less force. Therefore less
energy is required to move it to the next higher energy level. Since the energy levels
are closer the higher they get, each series will converge toward the high-energy end
of the series, that is, the shorter wavelengths or higher frequencies. The spectrum of
hydrogen is a classic example of this convergence at the higher-energy or shorter
wavelength end of each series.

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