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

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

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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