Q: Which equation correctly represents the energy change ($$\Delta E) $$when an electron transitions from a higher energy level ($$n_i) to a $$lower energy level ($$n_f) in a $$hydrogen atom?

$$\Delta E = -2.18 \times 10$$^{-18}$$ \text{ J} \left( \frac{1}{n_f^2$} - \frac{1}{n_i^2$} \right)$$

Q: A 3000-lb car travels at 60 mi/hr. What is the approximate de Broglie wavelength of the car?

$$\lambda = 3.744 \times 10$$^{-39}$$ \text{ m}$$

Q: If an electron is promoted from $$n = 1 to$$ $$n = 4 in a $$hydrogen atom, what is the energy required for this transition?

$$2.044 \times 10$$^{-18}$$ \text{ J}$$

Question 1

Which equation correctly represents the energy change ($$\Delta E) $$when an electron transitions from a higher energy level ($$n_i) to a $$lower energy level ($$n_f) in a $$hydrogen atom?

Accepted Answer

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

Question 2

An electron in a hydrogen atom drops from $$n = 6 to$$ $$n = 2. $$What is the wavelength of the photon emitted during this transition?

Accepted Answer

$$\lambda = 411 	ext{ nm}$$

Question 3

According to the de Broglie hypothesis, what is the formula for the wavelength ($$\lambda) of a $$moving particle?

Accepted Answer

$$\lambda = \frac{h}{mu}$$

Question 4

Which statement best describes the Heisenberg Uncertainty Principle?

Accepted Answer

It is impossible to simultaneously know both the exact position and exact momentum of a particle.

Question 5

A 3000-lb car travels at 60 mi/hr. What is the approximate de Broglie wavelength of the car?

Accepted Answer

$$\lambda = 3.744 	imes 10$$^{-39}$$ 	ext{ m}$$

Question 6

Which quantum number determines the shape of an atomic orbital?

Accepted Answer

Angular momentum quantum number ($$l)$$

Question 7

How many total orbitals are associated with the principal quantum number $$n = 4$$?

Accepted Answer

16

Question 8

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

Accepted Answer

$$n = 3,\ l = 3,\ m_l = 0,\ m_s = +\frac{1}{2}$$

Question 9

What is the maximum number of electrons that can occupy the $$n = 2$$ shell?

Accepted Answer

8

Question 10

Which orbital has the highest number of nodes among the following?

Accepted Answer

3s

Question 11

If an electron is promoted from $$n = 1 to$$ $$n = 4 in a $$hydrogen atom, what is the energy required for this transition?

Accepted Answer

$$2.044 	imes 10$$^{-18}$$ 	ext{ J}$$

Question 12

Which statement about atomic orbitals is correct?

Accepted Answer

Atomic orbitals are regions of space where the probability of finding an electron is high.

Question 13

What is the relationship between the principal quantum number ($$n) $$and the total number of orbitals in a shell?

Accepted Answer

Total orbitals $$= n^2$

Question 14

Which quantum number describes the orientation of an orbital in space?

Accepted Answer

Magnetic quantum number ($$m_l)$$

Question 15

Which of the following is a consequence of the dual nature of electrons?

Accepted Answer

Electrons can exhibit both particle and wave properties.

Question 16

What is the probability of finding an electron in a region of space according to quantum mechanics?

Accepted Answer

It is proportional to $$\$$psi^2$$, where $$\psi$$ is the wave function.

Question 17

Which of the following best explains why Bohr's model fails for atoms other than hydrogen?

Accepted Answer

Bohr's model does not account for electron-electron interactions in multi-electron atoms.

Question 18

Which orbital type is first available when $$n = 2$$?

Accepted Answer

p orbital

Question 19

What is the velocity (in m/s) of an electron with a de Broglie wavelength of $$1.5 	imes 10$$^{-10}$$ m?

Accepted Answer

$$4.85 	imes 10^6$ 	ext{ m/s}$$

Quantum Theory and Electronic Structure of Atoms: Study Notes

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드