Question 1

Which of the following statements best describes the relationship between wavelength ($$\lambda) $$and frequency ($$
u) $$for electromagnetic radiation?

Accepted Answer

They are inversely proportional; as wavelength increases, frequency decreases.

Question 2

A mercury streetlamp emits light with a wavelength of 436 nm. What is the frequency ($$
u) of $$this light? (Speed of light $$c = 2.998 	imes 10^8$ m/s)

Accepted Answer

$$6.87 	imes 10$$^{14}$$ Hz

Question 3

Which phenomenon provides evidence for the wave nature of light?

Accepted Answer

Diffraction and interference

Question 4

Which equation correctly relates the energy of a photon ($$E) to $$its frequency ($$
u$$)?

Accepted Answer

$$E = h
u$$

Question 5

A medical X-ray has a frequency of $$9.55 	imes 10$$^{17}$$ Hz. What is its wavelength in meters? (c = 2.998$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$3.14 	imes 10$$^{-10}$$ m

Question 6

Which statement about the Bohr model of the atom is correct?

Accepted Answer

It accurately predicts the energy needed to remove an electron from hydrogen.

Question 7

Using the Balmer-Rydberg equation, what is the wavelength (in nm) of the photon emitted when an electron in a hydrogen atom transitions from $$n_i = 4 to$$ $$n_f = 2$$? ($$R_H = 1.097 	imes 10^7$ m$$^{-1}$$)

Accepted Answer

486 nm

Question 8

Which of the following best explains the photoelectric effect?

Accepted Answer

Electrons are emitted when photons have energy greater than the work function, regardless of intensity.

Question 9

Calculate the energy (in kJ/mol) of photons with a wavelength of 250 nm. ($$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 2.998$$ 	imes $$10^8 m/s$$, $$N_A = 6.022 	imes 10$$^{23}$$ mol$$^{-1}$$)

Accepted Answer

479 kJ/mol

Question 10

According to de Broglie, what is the wavelength ($$\lambda) of an $$electron (mass $$9.11 	imes 10$$^{-31}$$ kg) moving at 2.00$$ 	imes $$10^6 m/s$$? ($$h = 6.626 	imes 10$$^{-34}$$ J·s)

Accepted Answer

$$3.63 	imes 10$$^{-10}$$ m

Question 11

Which statement best describes the Heisenberg Uncertainty Principle?

Accepted Answer

The product of the uncertainties in position and momentum is always greater than or equal to $$h/4\pi.$$

Question 12

Which set of quantum numbers is NOT allowed for an electron in an atom?

Accepted Answer

$$n=1, \ell=1, m_\ell=0$$

Question 13

How many orbitals are present in the $$n=5$$ shell?

Accepted Answer

25

Question 14

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$\ell)$$

Question 15

What is the total number of orbitals in the $$n=4$$ shell?

Accepted Answer

16

Question 16

Which orbital corresponds to the quantum numbers $$n=3$$, $$\ell=2$$, $$m_\ell=1$$?

Accepted Answer

3d

Question 17

Which of the following is a correct set of quantum numbers for a 2p orbital?

Accepted Answer

$$n=2, \ell=1, m_\ell=0$$

Question 18

Which atomic orbital has a spherical shape?

Accepted Answer

s orbital

Question 19

According to the Pauli Exclusion Principle, what is the maximum number of electrons that can occupy a single orbital?

Accepted Answer

2

The Quantum-Mechanical Model of the Atom: Electromagnetic Radiation and Atomic Structure

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