Question 1

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.The energy of the n = 2 state of hydrogen in this model is closest to

Accepted Answer

A)  -3.4 eV. 
B)  -6.8 eV. 
C)  -1.7 eV. 
D)  -13.6 eV. 
E)  -4.5 eV. 
A)  -3.4 eV. 
B)  -6.8 eV. 
C)  -1.7 eV. 
D)  -13.6 eV. 
E)  -4.5 eV. A

Question 2

A nonrelativistic electron is accelerated from rest through a potential difference.After acceleration the electron has a de Broglie wavelength of 880 nm.What is the potential difference though which this electron was accelerated?   ,   ,

Accepted Answer

A)  1.9 µV 
B)  1.7 µV 
C)  2.2 µV 
D)  2.5 µV 
A)  1.9 µV 
B)  1.7 µV 
C)  2.2 µV 
D)  2.5 µV A

Question 3

How fast must a nonrelativistic electron move so its de Broglie wavelength is the same as the wavelength of a 3.4-eV photon? (mel = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,

Accepted Answer

A)  2000 m/s 
B)  1900 m/s 
C)  1700 m/s 
D)  1600 m/s 
E)  1400 m/s 
A)  2000 m/s 
B)  1900 m/s 
C)  1700 m/s 
D)  1600 m/s 
E)  1400 m/s A

Question 4

A molecule of roughly spherical shape has a mass of 6.10 × 10-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

Accepted Answer

A)  0.12 m/s 
B)  1.2 m/s 
C)  12 m/s 
D)  0.012 m/s 
E)  0.0012 m/s 
A)  0.12 m/s 
B)  1.2 m/s 
C)  12 m/s 
D)  0.012 m/s 
E)  0.0012 m/s

Question 5

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of   (h = 6.626 × 10-34 J • s,mneutron = 1.675 × 10-27 kg,

Accepted Answer

Question 6

Light shines through atomic hydrogen gas.It is seen that the gas absorbs light readily at a wavelength of 91.63 nm.What is the value of n of the level to which the hydrogen is being excited by the absorption of light of this wavelength? Assume that the most of the atoms in the gas are in the lowest level.(h = 6.626 × 10-34 J ∙ s,c = 3.00 × 108 m/s,   ,the Rydberg constant is R = 1.097 × 107 m-1)

Accepted Answer

A)  14 
B)  16 
C)  11 
D)  21 
A)  14 
B)  16 
C)  11 
D)  21

Question 7

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis.What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed?   ,h = 1.055 × 10-34 J • s,mproton = 1.67 × 10-27 kg)

Accepted Answer

A)  0.13 eV 
B)  1.3 eV 
C)  13 eV 
D)  130 eV 
E)  1300 eV 
A)  0.13 eV 
B)  1.3 eV 
C)  13 eV 
D)  130 eV 
E)  1300 eV

Question 8

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

Accepted Answer

Question 9

The wavelength of a ruby laser is 694.3 nm.What is the energy difference between the two energy states involved in laser action? (c = 2.9979 × 108 m/s,h = 6.626 × 10-34 J • s,

Accepted Answer

A)  1.537 eV 
B)  1.646 eV 
C)  1.786 eV 
D)  1.812 eV 
E)  3.572 eV 
A)  1.537 eV 
B)  1.646 eV 
C)  1.786 eV 
D)  1.812 eV 
E)  3.572 eV

Question 10

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10-34 J • s = 6.591 × 10-16 eV • s,

Accepted Answer

A)  6.59 × 10-16 s 
B)  4.14 × 10-15 s 
C)  6.59 × 10-12 s 
D)  4.14 × 10-11 s 
E)  6.59 × 10-9 s 
A)  6.59 × 10-16 s 
B)  4.14 × 10-15 s 
C)  6.59 × 10-12 s 
D)  4.14 × 10-11 s 
E)  6.59 × 10-9 s

Question 11

The Bohr radius of the hydrogen atom is 0.529 × 10-10 m.What is the radius of the n = 2 state?

Accepted Answer

A)  1.06 × 10-10 m 
B)  2.12 × 10-10 m 
C)  0.265 × 10-10 m 
D)  0.529 × 10-10 m 
E)  4.23 × 10-10 m 
A)  1.06 × 10-10 m 
B)  2.12 × 10-10 m 
C)  0.265 × 10-10 m 
D)  0.529 × 10-10 m 
E)  4.23 × 10-10 m

Question 12

Light excites atomic hydrogen from its lowest level to the n = 4 level.What is the energy of the light? The energy of the lowest level is -13.6 eV.

Accepted Answer

A)  12.8 eV 
B)  3.40 eV 
C)  0.850 eV 
D)  26.4 eV 
A)  12.8 eV 
B)  3.40 eV 
C)  0.850 eV 
D)  26.4 eV

Question 13

If the accuracy in measuring the position of a particle increases,the accuracy in measuring its velocity will

Accepted Answer

A)  increase. 
B)  decrease. 
C)  remain the same. 
D)  It is impossible to say since the two measurements are independent and do not affect each other. 
A)  increase. 
B)  decrease. 
C)  remain the same. 
D)  It is impossible to say since the two measurements are independent and do not affect each other.

Question 14

A gas of helium atoms (each of mass 6.65 × 10-27 kg)are at room temperature of 20.0°C.What is the de Broglie wavelength of the helium atoms that are moving at the root-mean-square speed? (h = 6.626 × 10-34 J • s,the Boltzmann constant is

Accepted Answer

A)  5.22 × 10-11 m 
B)  7.38 × 10-11 m 
C)  1.04 × 10-10 m 
D)  2.82 × 10-10 m 
E)  3.99 × 10-10 m 
A)  5.22 × 10-11 m 
B)  7.38 × 10-11 m 
C)  1.04 × 10-10 m 
D)  2.82 × 10-10 m 
E)  3.99 × 10-10 m

Question 15

An electric current through a tungsten filament maintains its temperature at 2800 K.Assume the tungsten filament behaves as an ideal radiator at that temperature.If the radiating area of the filament is 2.0 × 10-6 m2,at what rate does it radiate energy?   ,Wien displacement law constant is 2.90 × 10-3 m • K)

Accepted Answer

A)  5.5 W 
B)  7.0 W 
C)  8.5 W 
D)  10 W 
E)  11.5 W 
A)  5.5 W 
B)  7.0 W 
C)  8.5 W 
D)  10 W 
E)  11.5 W

Question 16

In a double slit experiment,a beam of electrons strikes a pair of slits.The slits are 15 μm apart,and the first interference maximum lies at an angle of 0.50 µrad from the center of the interference pattern.What is the momentum of the incoming electrons?   ,mel = 9.11 × 10-31 kg)

Accepted Answer

A)  4.4 × 10-23 kg • m/s 
B)  2.2 × 10-23 kg • m/s 
C)  1.1 × 10-23 kg • m/s 
D)  6.6 × 10-23 kg • m/s 
E)  8.8 × 10-23 kg • m/s 
A)  4.4 × 10-23 kg • m/s 
B)  2.2 × 10-23 kg • m/s 
C)  1.1 × 10-23 kg • m/s 
D)  6.6 × 10-23 kg • m/s 
E)  8.8 × 10-23 kg • m/s

Question 17

An electron inside a hydrogen atom is confined to within a space of 0.110 nm.What is the minimum uncertainty in the electron's velocity? ( h = 1.055 × 10-34 J • s,

Accepted Answer

A)  5.26 × 105 m/s 
B)  7.50 × 105 m/s 
C)  5.26 × 107 m/s 
D)  7.50 × 107 m/s 
E)  5.26 × 109 m/s 
A)  5.26 × 105 m/s 
B)  7.50 × 105 m/s 
C)  5.26 × 107 m/s 
D)  7.50 × 107 m/s 
E)  5.26 × 109 m/s

Question 18

A hydrogen atom makes a downward transition from the   state to the n = 5 state.Find the wavelength of the emitted photon.The lowest level energy state of hydrogen is -13.6 eV. (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s)

Accepted Answer

A)  2.43 μm 
B)  1.46 μm 
C)  1.94 μm 
D)  2.92 μm 
A)  2.43 μm 
B)  1.46 μm 
C)  1.94 μm 
D)  2.92 μm

Question 19

An electric current through a tungsten filament maintains its temperature at 2800 K.Assume the tungsten filament behaves as an ideal radiator at that temperature.Near what wavelength does the filament emit the greatest power? (σ = 5.67 × 10-8 W/m2 • K4,Wien displacement law constant is 2.9 × 10-3 m • K)

Accepted Answer

A)  1000 nm 
B)  1200 nm 
C)  1400 nm 
D)  1600 nm 
E)  1800 nm 
A)  1000 nm 
B)  1200 nm 
C)  1400 nm 
D)  1600 nm 
E)  1800 nm

Question 20

In a ruby laser,an electron jumps from a higher energy level to a lower one.If the energy difference between the two levels is 1.8 eV,what is the wavelength of the emitted photon?   ,h = 6.626 × 10-34 J • s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  350 nm 
B)  470 nm 
C)  650 nm 
D)  690 nm 
E)  960 nm 
A)  350 nm 
B)  470 nm 
C)  650 nm 
D)  690 nm 
E)  960 nm

Exam 39: Particles Behaving As Waves

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.The energy of the n = 2 state of hydrogen in this model is closest to

A nonrelativistic electron is accelerated from rest through a potential difference.After acceleration the electron has a de Broglie wavelength of 880 nm.What is the potential difference though which this electron was accelerated? , ,

How fast must a nonrelativistic electron move so its de Broglie wavelength is the same as the wavelength of a 3.4-eV photon? (mel = 9.11 × 10-31 kg,c = 3.00 × 108 m/s,

A molecule of roughly spherical shape has a mass of 6.10 × 10-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of (h = 6.626 × 10-34 J • s,mneutron = 1.675 × 10-27 kg,

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis.What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? ,h = 1.055 × 10-34 J • s,mproton = 1.67 × 10-27 kg)

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

The wavelength of a ruby laser is 694.3 nm.What is the energy difference between the two energy states involved in laser action? (c = 2.9979 × 108 m/s,h = 6.626 × 10-34 J • s,

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10-34 J • s = 6.591 × 10-16 eV • s,

The Bohr radius of the hydrogen atom is 0.529 × 10-10 m.What is the radius of the n = 2 state?

Light excites atomic hydrogen from its lowest level to the n = 4 level.What is the energy of the light? The energy of the lowest level is -13.6 eV.

If the accuracy in measuring the position of a particle increases,the accuracy in measuring its velocity will

A gas of helium atoms (each of mass 6.65 × 10-27 kg)are at room temperature of 20.0°C.What is the de Broglie wavelength of the helium atoms that are moving at the root-mean-square speed? (h = 6.626 × 10-34 J • s,the Boltzmann constant is

In a double slit experiment,a beam of electrons strikes a pair of slits.The slits are 15 μm apart,and the first interference maximum lies at an angle of 0.50 µrad from the center of the interference pattern.What is the momentum of the incoming electrons? ,mel = 9.11 × 10-31 kg)

An electron inside a hydrogen atom is confined to within a space of 0.110 nm.What is the minimum uncertainty in the electron's velocity? ( h = 1.055 × 10-34 J • s,

A hydrogen atom makes a downward transition from the state to the n = 5 state.Find the wavelength of the emitted photon.The lowest level energy state of hydrogen is -13.6 eV. (h = 6.626 × 10-34 J ∙ s,1 eV = 1.60 × 10-19 J,c = 3.00 × 108 m/s)

In a ruby laser,an electron jumps from a higher energy level to a lower one.If the energy difference between the two levels is 1.8 eV,what is the wavelength of the emitted photon? ,h = 6.626 × 10-34 J • s,1 eV = 1.60 × 10-19 J)

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Filters

How fast must a nonrelativistic electron move so its de Broglie wavelength is the same as the wavelength of a 3.4-eV photon? (m_el = 9.11 × 10^-31 kg,c = 3.00 × 10⁸ m/s,

A molecule of roughly spherical shape has a mass of 6.10 × 10^-25 kg and a diameter of 0.70 nm.The uncertainty in the measured position of the molecule is equal to the molecular diameter.What is the minimum uncertainty in the speed of this molecule?

Calculate the kinetic energy (in eV)of a nonrelativistic neutron that has a de Broglie wavelength of (h = 6.626 × 10^-34 J • s,m_neutron = 1.675 × 10^-27 kg,

A nonrelativistic proton is confined to a length of 2.0 pm on the x-axis.What is the kinetic energy of the proton if its speed is equal to the minimum uncertainty possible in its speed? ,h = 1.055 × 10^-34 J • s,m_proton = 1.67 × 10^-27 kg)

An unstable particle produced in a high-energy collision is measured to have an energy of 483 MeV and an uncertainty in energy of 84 keV.Use the Heisenberg uncertainty principle to estimate the lifetime of this particle.( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

The wavelength of a ruby laser is 694.3 nm.What is the energy difference between the two energy states involved in laser action? (c = 2.9979 × 10⁸ m/s,h = 6.626 × 10^-34 J • s,

The energy of an electron state has an uncertainty of 0.500 eV.What is the minimum uncertainty in the lifetime of the level? ( h = 1.055 × 10^-34 J • s = 6.591 × 10^-16 eV • s,

The Bohr radius of the hydrogen atom is 0.529 × 10^-10 m.What is the radius of the n = 2 state?

A gas of helium atoms (each of mass 6.65 × 10^-27 kg)are at room temperature of 20.0°C.What is the de Broglie wavelength of the helium atoms that are moving at the root-mean-square speed? (h = 6.626 × 10^-34 J • s,the Boltzmann constant is

In a double slit experiment,a beam of electrons strikes a pair of slits.The slits are 15 μm apart,and the first interference maximum lies at an angle of 0.50 µrad from the center of the interference pattern.What is the momentum of the incoming electrons? ,m_el = 9.11 × 10^-31 kg)

An electron inside a hydrogen atom is confined to within a space of 0.110 nm.What is the minimum uncertainty in the electron's velocity? ( h = 1.055 × 10^-34 J • s,

A hydrogen atom makes a downward transition from the state to the n = 5 state.Find the wavelength of the emitted photon.The lowest level energy state of hydrogen is -13.6 eV. (h = 6.626 × 10^-34 J ∙ s,1 eV = 1.60 × 10^-19 J,c = 3.00 × 10⁸ m/s)

In a ruby laser,an electron jumps from a higher energy level to a lower one.If the energy difference between the two levels is 1.8 eV,what is the wavelength of the emitted photon? ,h = 6.626 × 10^-34 J • s,1 eV = 1.60 × 10^-19 J)