Q: Calculate the frequency (in Hz) of red light emitted by a neon sign with a wavelength of $663.8\ \mathrm{nm}$. Use $c = 3.00 \times 10^8\ \mathrm{m/s}$.

$4.52 \times 10^{14}\ \mathrm{Hz}$

Q: An FM radio station broadcasts at $97.7\ \mathrm{MHz}$. What is the wavelength of these radio waves in angstroms? ($1\ \mathrm{angstrom} = 1 \times 10^{-10}\ \mathrm{m}$, $c = 3.00 \times 10^8\ \mathrm{m/s}$)

$3.07 \times 10^8\ \mathrm{angstroms}$

Q: A photon has a wavelength of $293.7\ \mathrm{nm}$. What is its energy in joules? ($h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 \times 10^8\ \mathrm{m/s}$)

$6.76 \times 10^{-19}\ \mathrm{J}$

Q: If the binding energy of electrons on a metal surface is $7.15 \times 10^{-19}\ \mathrm{J}$ and a photon of $4.33 \times 10^{-18}\ \mathrm{J}$ strikes the surface, what is the kinetic energy of the ejected electron?

$3.62 \times 10^{-18}\ \mathrm{J}$

Q: A metal with a threshold frequency of $2.15 \times 10^{15}\ \mathrm{s}^{-1}$ emits an electron with a velocity of $7.03 \times 10^6\ \mathrm{m/s}$ when radiation of $4.88 \times 10^{15}\ \mathrm{s}^{-1}$ strikes the surface. What is the mass of the electron? (Use $E_k = \frac{1}{2}mv^2$ and $h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$)

$9.11 \times 10^{-31}\ \mathrm{kg}$

Q: What is the de Broglie wavelength (in meters) of a proton moving at $6.25 \times 10^5\ \mathrm{m/s}$? (Mass of proton $= 1.67 \times 10^{-27}\ \mathrm{kg}$, $h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$)

$1.01 \times 10^{-12}\ \mathrm{m}$

Q: An electron with a mass of $9.11 \times 10^{-31}\ \mathrm{kg}$ has an uncertainty in its position of $630\ \mathrm{pm}$. What is the minimum uncertainty in its velocity? ($h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$)

$9.2 \times 10^2\ \mathrm{m/s}$

Q: A baseball (mass = $0.150\ \mathrm{kg}$) is traveling at $51.0\ \mathrm{m/s}$. If the uncertainty in its speed is $0.12\%$, what is the minimum uncertainty in its position? ($h = 6.626 \times 10^{-34}\ \mathrm{J\cdot s}$)

$7.2 \times 10^{-32}\ \mathrm{m}$

Question 1

Which region of the electromagnetic spectrum contains radiation with the shortest wavelength and the highest energy per photon?

Accepted Answer

Gamma Ray

Question 2

A carbon-oxygen double bond within a sugar molecule absorbs electromagnetic radiation at a frequency of $6.0 	imes 10^{13}\ \mathrm{s}^{-1}$. Which portion of the electromagnetic spectrum does this represent?

Accepted Answer

Infrared

Question 3

Which of the following visible light wavelengths has the highest frequency?

Accepted Answer

$\lambda = 439\ \mathrm{nm}$

Question 4

Calculate the frequency (in Hz) of red light emitted by a neon sign with a wavelength of $663.8\ \mathrm{nm}$. Use $c = 3.00 	imes 10^8\ \mathrm{m/s}$.

Accepted Answer

$4.52 	imes 10^{14}\ \mathrm{Hz}$

Question 5

An FM radio station broadcasts at $97.7\ \mathrm{MHz}$. What is the wavelength of these radio waves in angstroms? ($1\ \mathrm{angstrom} = 1 	imes 10^{-10}\ \mathrm{m}$, $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$3.07 	imes 10^8\ \mathrm{angstroms}$

Question 6

A photon has a wavelength of $293.7\ \mathrm{nm}$. What is its energy in joules? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$6.76 	imes 10^{-19}\ \mathrm{J}$

Question 7

A light ray has a wavelength of $835\ \mu\mathrm{m}$ and contains $6.32 	imes 10^{-3}\ \mathrm{J}$ of energy. How many photons does this light ray have? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$, $c = 3.00 	imes 10^8\ \mathrm{m/s}$)

Accepted Answer

$2.65 	imes 10^{21}$

Question 8

If the binding energy of electrons on a metal surface is $7.15 	imes 10^{-19}\ \mathrm{J}$ and a photon of $4.33 	imes 10^{-18}\ \mathrm{J}$ strikes the surface, what is the kinetic energy of the ejected electron?

Accepted Answer

$3.62 	imes 10^{-18}\ \mathrm{J}$

Question 9

A metal with a threshold frequency of $2.15 	imes 10^{15}\ \mathrm{s}^{-1}$ emits an electron with a velocity of $7.03 	imes 10^6\ \mathrm{m/s}$ when radiation of $4.88 	imes 10^{15}\ \mathrm{s}^{-1}$ strikes the surface. What is the mass of the electron? (Use $E_k = \frac{1}{2}mv^2$ and $h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$9.11 	imes 10^{-31}\ \mathrm{kg}$

Question 10

What is the de Broglie wavelength (in meters) of a proton moving at $6.25 	imes 10^5\ \mathrm{m/s}$? (Mass of proton $= 1.67 	imes 10^{-27}\ \mathrm{kg}$, $h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$1.01 	imes 10^{-12}\ \mathrm{m}$

Question 11

According to the Heisenberg Uncertainty Principle, which pair of properties cannot be simultaneously measured with arbitrary precision?

Accepted Answer

Position and momentum

Question 12

An electron with a mass of $9.11 	imes 10^{-31}\ \mathrm{kg}$ has an uncertainty in its position of $630\ \mathrm{pm}$. What is the minimum uncertainty in its velocity? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$9.2 	imes 10^2\ \mathrm{m/s}$

Question 13

Which of the following sets of quantum numbers is possible for an electron in an atom?

Accepted Answer

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

Question 14

How many electrons can have the quantum numbers $n=3$, $l=0$ in an atom?

Accepted Answer

2

Question 15

A photon with a frequency of $4.29 	imes 10^{15}\ \mathrm{s}^{-1}$ is absorbed by a hydrogen atom. What is the energy of a mole of such photons? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$, $N_A = 6.022 	imes 10^{23}\ \mathrm{mol}^{-1}$)

Accepted Answer

$1.71 	imes 10^6\ \mathrm{J}$

Question 16

Which of the following statements about the relationship between wavelength and frequency is correct?

Accepted Answer

As wavelength increases, frequency decreases.

Question 17

A baseball (mass = $0.150\ \mathrm{kg}$) is traveling at $51.0\ \mathrm{m/s}$. If the uncertainty in its speed is $0.12\%$, what is the minimum uncertainty in its position? ($h = 6.626 	imes 10^{-34}\ \mathrm{J\cdot s}$)

Accepted Answer

$7.2 	imes 10^{-32}\ \mathrm{m}$

Question 18

Which of the following electromagnetic waves has the highest frequency?

Accepted Answer

Wave A ($\lambda = 453\ \mathrm{nm}$)

Electromagnetic Radiation, Quantum Effects, and Atomic Structure: General Chemistry Study Notes

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