Q: Which equation correctly gives the energy difference between two energy levels in a hydrogen atom according to the Bohr model?

$\Delta E = -2.18 \times 10^{-18} \left( \frac{1}{n_{\text{initial}}^2} - \frac{1}{n_{\text{final}}^2} \right)$

Question 1

Which of the following best describes the difference between an absorption spectrum and an emission spectrum for a given element?

Accepted Answer

An absorption spectrum shows dark lines at specific wavelengths where light is absorbed, while an emission spectrum shows bright lines at those same wavelengths where light is emitted.

Question 2

According to the Bohr model, what happens when an electron in a hydrogen atom moves from $n=4$ to $n=2$?

Accepted Answer

The atom emits a photon with energy equal to the difference between the two energy levels.

Question 3

Which equation correctly gives the energy difference between two energy levels in a hydrogen atom according to the Bohr model?

Accepted Answer

$\Delta E = -2.18 	imes 10^{-18} \left( \frac{1}{n_{	ext{initial}}^2} - \frac{1}{n_{	ext{final}}^2} ight)$

Question 4

A photon with energy $E = h 
u$ is absorbed by a hydrogen atom. What must be true for the electron to move from $n=1$ to $n=3$?

Accepted Answer

The photon's energy must exactly match the energy difference between $n=1$ and $n=3$.

Question 5

Which of the following statements about quantization of energy is correct?

Accepted Answer

Energy can only be absorbed or emitted in discrete multiples of $h 
u$.

Question 6

A student observes a bright line at 656 nm in the emission spectrum of hydrogen. Which electronic transition is responsible for this line?

Accepted Answer

$n=3$ to $n=2$

Question 7

Which of the following best explains why each element has a unique atomic emission spectrum?

Accepted Answer

Each element has a unique set of allowed electron energy levels.

Question 8

In the Bohr model, what is the primary reason electrons do not spiral into the nucleus?

Accepted Answer

Electrons can only occupy certain allowed orbits with fixed energies.

Question 9

Which of the following transitions in a hydrogen atom would emit the highest energy photon?

Accepted Answer

$n=2$ to $n=1$

Question 10

A scientist is trying to identify an unknown gas by comparing its emission spectrum to known samples. What property of the emission spectrum allows for this identification?

Accepted Answer

The emission spectrum of each element contains a unique pattern of bright lines at specific wavelengths.

Question 11

Which of the following is a limitation of the Bohr model?

Accepted Answer

It does not account for the wave properties of electrons.

Question 12

Which of the following best describes the difference between the photoelectric effect and atomic absorption/emission spectra?

Accepted Answer

In the photoelectric effect, the photon energy must be at least equal to the binding energy, and any extra energy becomes kinetic energy of the electron.

Question 13

If an electron in a hydrogen atom absorbs a photon and moves from $n=2$ to $n=5$, what is the energy of the absorbed photon? (Use $E = -2.18 	imes 10^{-18} \left( \frac{1}{n^2} ight)$ J)

Accepted Answer

$E = 2.18 	imes 10^{-18} \left( \frac{1}{2^2} - \frac{1}{5^2} ight)$ J

Question 14

Which of the following best illustrates the concept of quantized energy levels in atoms?

Accepted Answer

A person climbing a ladder, able to stand only on the rungs.

Question 15

Which of the following transitions in a hydrogen atom would produce a photon in the ultraviolet region of the electromagnetic spectrum?

Accepted Answer

$n=2$ to $n=1$

Question 16

A hydrogen atom emits a photon as an electron falls from $n=5$ to $n=2$. Which series does this transition belong to?

Accepted Answer

Balmer series

Question 17

Which of the following is NOT allowed according to the quantization of energy?

Accepted Answer

Absorbing energy equal to $\frac{2}{3}h
u$

Question 18

Which of the following best explains why the Bohr model is successful for hydrogen but not for multi-electron atoms?

Accepted Answer

The Bohr model does not account for electron-electron repulsions present in multi-electron atoms.

Question 19

Which of the following statements about the ground state and excited state of an atom is correct?

Accepted Answer

The ground state is the lowest energy state, and the excited state is any higher energy state.

Atomic Emission Spectrum and Bohr Models: Structured Study Notes

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