Q: A transition from $$n=5 to$$ $$n=2 in a $$hydrogen atom emits a photon. Which equation gives the energy of this photon?

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

Question 1

A radio signal has a frequency of 100.7 MHz. What is its wavelength in meters? (Speed of light $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$2.98 m$$

Question 2

A visible light photon has a wavelength of 615 nm. What is the energy of one photon of this light? (Planck's constant $$h = 6.626 	imes 10$$^{-34}$$ J·s, c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

$$3.24 	imes 10$$^{-19}$$ J

Question 3

What is the frequency of radiation required to supply $$1.34 	imes 10$$^{-7}$$ J of energy from 5.26$$ 	imes $$10^{11}$$ photons? ($$E = h 
u)$$

Accepted Answer

$$3.87 	imes 10$$^{15}$$ Hz

Question 4

Which of the following transitions in a hydrogen atom represents emission of the longest wavelength photon?

Accepted Answer

$$n=4 \rightarrow n=3$$

Question 5

For $$n=3$$, what are the possible values for $$l$$?

Accepted Answer

$$l = 0, 1, 2$$

Question 6

For $$l=2$$, what are the possible values for $$m_l$$?

Accepted Answer

$$m_l = -2, -1, 0, 1, 2$$

Question 7

How many electrons can fit into a subshell with $$n=4$$, $$l=3$$, $$m_l=-2$$?

Accepted Answer

2 electrons

Question 8

How many electrons can fit into a subshell with $$n=5$$, $$l=3$$, $$m_l=1$$, $$m_s=+\frac{1}{2}$$?

Accepted Answer

1 electron

Question 9

Which quantum numbers specify the 3d subshell?

Accepted Answer

$$n=3$$, $$l=2$$

Question 10

How many electrons can fill into each 3d subshell?

Accepted Answer

10

Question 11

Which set of quantum numbers is valid for an electron in an atom?

Accepted Answer

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

Question 12

How many orbitals are in the $$n=3$$ principal energy level?

Accepted Answer

9

Question 13

How many electrons can fit into the $$n=2$$ energy level?

Accepted Answer

8

Question 14

Which quantum numbers specify the 4p subshell?

Accepted Answer

$$n=4$$, $$l=1$$

Question 15

A transition from $$n=5 to$$ $$n=2 in a $$hydrogen atom emits a photon. Which equation gives the energy of this photon?

Accepted Answer

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

Question 16

Which of the following best describes the relationship between wavelength and frequency for electromagnetic radiation?

Accepted Answer

$$c = \lambda 
u$$

Question 17

If an electron in a hydrogen atom moves from $$n=2 to$$ $$n=4$$, what happens to the energy of the atom?

Accepted Answer

The atom absorbs energy

Question 18

Which quantum number determines the shape of an orbital?

Accepted Answer

Azimuthal quantum number $$l$$

Question 19

How many electrons can occupy a single orbital?

Accepted Answer

2

Question 20

Which of the following is a valid set of quantum numbers for a 4f electron?

Accepted Answer

$$n=4$$, $$l=3$$, $$m_l=2$$, $$m_s=-\frac{1}{2}$$

Atomic Structure and Quantum Numbers: Study Notes and Practice Problems

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