Question 1

How many photons per second emerge from a laser of power   with wavelength   (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J • s)

Accepted Answer

A)  6.09 × 1015 photons/s 
B)  5.03 × 1012 photons/s 
C)  3.07 × 1015 photons/s 
D)  3.07 × 1013 photons/s 
A)  6.09 × 1015 photons/s 
B)  5.03 × 1012 photons/s 
C)  3.07 × 1015 photons/s 
D)  3.07 × 1013 photons/s

Question 2

A hydrogen atom initially in the n = 6 state decays to the n = 2 state.The emitted photon is detected in a photographic plate.What is the wavelength of the detected 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,

Accepted Answer

A)  410 nm 
B)  93.8 nm 
C)  1090 nm 
D)  93.1 nm 
A)  410 nm 
B)  93.8 nm 
C)  1090 nm 
D)  93.1 nm

Question 3

If the accuracy in measuring the velocity of a particle increases,the accuracy in measuring its position 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 4

A perfectly black body at 100°C emits light of intensity I that has the strongest intensity near wavelength λ.The temperature of this body is now increased to 200°C.
(a)In terms of I,what is the intensity at which this hotter body radiates?
(b)In terms of λ,near what wavelength does light radiated from this hotter body have the strongest intensity?

Accepted Answer

The answer of A perfectly black body at 100°C emits...

Question 5

A certain particle's energy is measured by a detector to within 1.0 × 10-18.What is the minimum uncertainty we can have in its arrival time at the detector?

Accepted Answer

A)  5.3 × 10-16 s 
B)  5.3 × 10-15 s 
C)  5.3 × 10-14 s 
D)  5.3 × 10-13 s 
E)  5.3 × 10-17 s 
A)  5.3 × 10-16 s 
B)  5.3 × 10-15 s 
C)  5.3 × 10-14 s 
D)  5.3 × 10-13 s 
E)  5.3 × 10-17 s

Question 6

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.In a transition from the n = 2 state to the n = 4 state,a photon of energy

Accepted Answer

A)  3.40 eV is emitted. 
B)  3.40 eV is absorbed. 
C)  2.55 eV is emitted. 
D)  2.55 eV is absorbed. 
E)  0.85 eV is absorbed. 
A)  3.40 eV is emitted. 
B)  3.40 eV is absorbed. 
C)  2.55 eV is emitted. 
D)  2.55 eV is absorbed. 
E)  0.85 eV is absorbed.

Question 7

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following?   , c = 3.00 × 108 m/s)

Accepted Answer

A)  5 × 10-7 eV 
B)  5 × 10-6 eV 
C)  5 × 10-5 eV 
D)  5 × 10-4 eV 
E)  5 × 10-3 eV 
A)  5 × 10-7 eV 
B)  5 × 10-6 eV 
C)  5 × 10-5 eV 
D)  5 × 10-4 eV 
E)  5 × 10-3 eV

Question 8

Electrons emerge from an electron gun with a speed of 2.0 × 106 m/s and then pass through a pair of thin parallel slits.Interference fringes with a spacing of 2.7 mm are detected on a screen far from the double slit and fairly close to the center of the pattern.What would the fringe spacing be if the electrons were replaced by neutrons with the same speed?   ,mneutron = 1.67 × 10-27 kg)

Accepted Answer

A)  1.5 µm 
B)  4.9 µm 
C)  0.93 nm 
D)  1.1 µm 
E)  1.5 nm 
A)  1.5 µm 
B)  4.9 µm 
C)  0.93 nm 
D)  1.1 µm 
E)  1.5 nm

Question 9

Which of the following are characteristics of laser light? (There may be more than one correct choice.)

Accepted Answer

A)  It is coherent. 
B)  It is produced by an inverted population of atoms. 
C)  It contains a full spectrum of wavelengths. 
A)  It is coherent. 
B)  It is produced by an inverted population of atoms. 
C)  It contains a full spectrum of wavelengths.

Question 10

What is the orbital radius of the   excited state in the Bohr model of the hydrogen atom? The ground-state radius of the hydrogen atom is 0.529 × 10-10 m.

Accepted Answer

A)  0.476 nm 
B)  0.159 nm 
C)  0.381 nm 
D)  0.548 nm 
A)  0.476 nm 
B)  0.159 nm 
C)  0.381 nm 
D)  0.548 nm

Question 11

A measurement of an electron's speed is 2.0 × 106 m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10-34 J • s,

Accepted Answer

A)  0.15 nm 
B)  0.29 nm 
C)  0.44 nm 
D)  0.60 nm 
E)  0.80 nm 
A)  0.15 nm 
B)  0.29 nm 
C)  0.44 nm 
D)  0.60 nm 
E)  0.80 nm

Question 12

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 ×   m/s? (mproton = 1.67 × 10-27 kg,c = 3.00 × 108 m/s)

Accepted Answer

A)  220 keV 
B)  150 keV 
C)  290 keV 
D)  360 keV 
E)  440 keV 
A)  220 keV 
B)  150 keV 
C)  290 keV 
D)  360 keV 
E)  440 keV

Question 13

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron?   ,c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

Accepted Answer

A)  2.4 keV 
B)  2.2 keV 
C)  2.0 keV 
D)  2.5 keV 
E)  2.7 keV 
A)  2.4 keV 
B)  2.2 keV 
C)  2.0 keV 
D)  2.5 keV 
E)  2.7 keV

Question 14

A perfectly black sphere 18.0 cm in diameter is held at a temperature of 215°C.
(σ = 5.670 × 10-8 W/m2 • K4,Wien displacement law constant is 2.90 × 10-3 m • K,   ,c = 3.00 × 108 m/s)
(a)Near what wavelength does this sphere radiate most strongly?
(b)If all the radiated energy were at the wavelength found in part (a),how many photons would the sphere emit each second?

Accepted Answer

(a)5.94 µm

Question 15

A 440-nm spectral line is produced by a transition from an excited state to the ground state.The natural line width of the spectral line is 0.020 pm.The average time the atom spends in the excited state is closest to which of the following? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

Accepted Answer

A)  2.5 × 10-6 s 
B)  2.5 × 10-7 s 
C)  2.5 × 10-8 s 
D)  2.5 × 10-9 s 
E)  2.5 × 10-10 s 
A)  2.5 × 10-6 s 
B)  2.5 × 10-7 s 
C)  2.5 × 10-8 s 
D)  2.5 × 10-9 s 
E)  2.5 × 10-10 s

Question 16

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s.)

Accepted Answer

A)  2.86 × 1013 Hz 
B)  1.43 × 1013 Hz 
C)  7.46 × 1013 Hz 
D)  8.82 × 1013 Hz 
E)  1.05 × 1013 Hz 
A)  2.86 × 1013 Hz 
B)  1.43 × 1013 Hz 
C)  7.46 × 1013 Hz 
D)  8.82 × 1013 Hz 
E)  1.05 × 1013 Hz

Question 17

A hydrogen atom is in its n = 2 excited state when its electron absorbs a photon of energy   .What is the energy of the resulting free electron? 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)

Accepted Answer

A)  5.1 eV 
B)  6.6 eV 
C)  6.9 eV 
D)  7.6 eV 
A)  5.1 eV 
B)  6.6 eV 
C)  6.9 eV 
D)  7.6 eV

Question 18

Suppose that in a parallel universe,the proton and electron were identical to their counterparts in our own universe EXCEPT that the electron had twice as much charge as our electron.In our present universe,the radius of the first Bohr orbit for hydrogen is a0 and the speed of an electron in that orbit is v0.In the parallel universe
(a)what would be the radius (in terms of a0)of the first Bohr orbit for hydrogen?
(b)what would be the speed (in terms of v0)of an electron in the first Bohr orbit for hydrogen?

Accepted Answer

Question 19

What is the wavelength of peak emission for a black body at 37°C? (c = 3.0 × 108 m/s,Wien displacement law constant is 2.9 × 10-3 m • K,σ = 5.67 × 10-8 W/m2 • K4)

Accepted Answer

A)  94 µm 
B)  9.4 µm 
C)  29 µm 
D)  7.8 µm 
E)  78 µm 
A)  94 µm 
B)  9.4 µm 
C)  29 µm 
D)  7.8 µm 
E)  78 µm

Question 20

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

Accepted Answer

A)  10-6 eV 
B)  10-5 eV 
C)  10-4 eV 
D)  10-3 eV 
E)  10-2 eV 
A)  10-6 eV 
B)  10-5 eV 
C)  10-4 eV 
D)  10-3 eV 
E)  10-2 eV

Exam 39: Particles Behaving As Waves

How many photons per second emerge from a laser of power with wavelength (c = 3.00 × 108 m/s,h = 6.626 × 10-34 J • s)

A hydrogen atom initially in the n = 6 state decays to the n = 2 state.The emitted photon is detected in a photographic plate.What is the wavelength of the detected 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,

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

A certain particle's energy is measured by a detector to within 1.0 × 10-18.What is the minimum uncertainty we can have in its arrival time at the detector?

The energy of the ground state in the Bohr model of the hydrogen atom is -13.6 eV.In a transition from the n = 2 state to the n = 4 state,a photon of energy

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following? , c = 3.00 × 108 m/s)

Which of the following are characteristics of laser light? (There may be more than one correct choice.)

What is the orbital radius of the excited state in the Bohr model of the hydrogen atom? The ground-state radius of the hydrogen atom is 0.529 × 10-10 m.

A measurement of an electron's speed is 2.0 × 106 m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10-34 J • s,

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × m/s? (mproton = 1.67 × 10-27 kg,c = 3.00 × 108 m/s)

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? ,c = 3.00 × 108 m/s,1 eV = 1.60 × 10-19 J)

A 440-nm spectral line is produced by a transition from an excited state to the ground state.The natural line width of the spectral line is 0.020 pm.The average time the atom spends in the excited state is closest to which of the following? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 107 m-1, c = 3.00 × 108 m/s.)

A hydrogen atom is in its n = 2 excited state when its electron absorbs a photon of energy .What is the energy of the resulting free electron? 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)

What is the wavelength of peak emission for a black body at 37°C? (c = 3.0 × 108 m/s,Wien displacement law constant is 2.9 × 10-3 m • K,σ = 5.67 × 10-8 W/m2 • K4)

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10-34 J • s = 6.59 × 10-16 eV • s)

Units,physical Quantities,and Vectors

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Motion in Two or Three Dimensions

Newtons Laws of Motion

Applying Newtons Laws

Work and Kinetic Energy

Potential Energy and Energy Conservation

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The First Law of Thermodynamics

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Interference

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Photons: Light Waves Behaving As Particles

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Filters

How many photons per second emerge from a laser of power with wavelength (c = 3.00 × 10⁸ m/s,h = 6.626 × 10^-34 J • s)

A hydrogen atom initially in the n = 6 state decays to the n = 2 state.The emitted photon is detected in a photographic plate.What is the wavelength of the detected 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,

A certain particle's energy is measured by a detector to within 1.0 × 10^-18.What is the minimum uncertainty we can have in its arrival time at the detector?

An ultraviolet source produces a monochromatic beam of 200-nm light.A shutter allows a pulse to pass that is 10,000 wavelengths long.The uncertainty in the energy of a photon in this pulse is closest to which of the following? , c = 3.00 × 10⁸ m/s)

What is the orbital radius of the excited state in the Bohr model of the hydrogen atom? The ground-state radius of the hydrogen atom is 0.529 × 10^-10 m.

A measurement of an electron's speed is 2.0 × 10⁶ m/s and has an uncertainty of 10%.What is the minimum uncertainty in its position? ( h = 1.055 × 10^-34 J • s,

What is the energy of a photon that has a wavelength equal to the de Broglie wavelength of a proton having a speed of 7.1 × m/s? (m_proton = 1.67 × 10^-27 kg,c = 3.00 × 10⁸ m/s)

A nonrelativistic electron has a kinetic energy of 5.4 eV.What is the energy of a photon whose wavelength is the same as the de Broglie wavelength of the electron? ,c = 3.00 × 10⁸ m/s,1 eV = 1.60 × 10^-19 J)

A 440-nm spectral line is produced by a transition from an excited state to the ground state.The natural line width of the spectral line is 0.020 pm.The average time the atom spends in the excited state is closest to which of the following? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)

What is the frequency of the light emitted by atomic hydrogen with m = 8 and n = 12? (The Rydberg constant is R = 1.097 × 10⁷ m^-1,^c= 3.00 × 10⁸ m/s.)

A hydrogen atom is in its n = 2 excited state when its electron absorbs a photon of energy .What is the energy of the resulting free electron? 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)

What is the wavelength of peak emission for a black body at 37°C? (c = 3.0 × 10⁸ m/s,Wien displacement law constant is 2.9 × 10^-3 m • K,σ = 5.67 × 10^-8 W/m² • K⁴)

A laser produces a beam of 4000-nm light.A shutter allows a pulse of light,30 ps in duration,to pass.Which of the following is closest to the uncertainty in the energy of a photon in the pulse? ( h = 1.055 × 10^-34 J • s = 6.59 × 10^-16 eV • s)