Question 1

Of photons of red, yellow, light, and blue light, which photons have the greatest energy?
A)red
B)yellow
C)green
D)blue

Accepted Answer

The energy of a photon is directly proportional to its frequency, and blue light has the highest frequency of the four options given.

Question 2

Starting from rest, an electron accelerates through a potential difference of 40 V.What is its de Broglie wavelength? (h = 6.63 * 10^-34 J*s, m_e = 9.11 * 10^-31 kg, and 1 eV = 1.60 * 10^-19 J) A)1.1 * 10^-10 m B)1.5 * 10^-10m C)1.9 * 10^-10 m D)2.3 * 10^-10 m

Accepted Answer

The answer of Starting from rest, an electron accelerates through...

Question 3

Surface #1 has work function  , and when bombarded with photons of wavelength  emits photoelectrons with maximum energy  .Surface #2 has work function  , and when bombarded by photons of wavelength  emits photoelectrons with maximum energy  .If  , then which of the following must be true?
A) 
B) 
C)  for surface #1 is greater than
 for surface #2.
D)  for surface #2 is greater than
 for surface #1.

Accepted Answer

The answer of Surface #1 has work function  ,...

Question 4

If a ¹H nucleus, a ²H nucleus, and a ³H nucleus all had the same momentum, which one has the greatest de Broglie wavelength? A)(¹H) B)(²H) C)(³H) D)All three have the same de Broglie wavelength.

Accepted Answer

The answer of If a ¹H nucleus, a ²H nucleus,...

Question 5

If the measured momentum of an electron is 3.20 * 10^-27 kg*m/s with an uncertainty of 1.6 * 10^-29kg*m/s, what is the minimum uncertainty in the position? (h = 6.63 * 10^-34 J*s) A)2.6 * 10^-8m B)3.3 * 10^-6 m C)0.63 * 10^-4 m D)1.1 * 10^-3 m

Accepted Answer

The uncertainty principle states that ΔxΔp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant. Solving for Δx, we get Δx ≥ h/4πΔp. Plugging in the given values, we get Δx ≥ (6.63*10^-34 J*s)/(4π*(3.2*10^-27 kg*m/s)*(1.6*10^-29 kg*m/s)) ≈ 3.3*10^-6 m. Therefore, the minimum uncertainty in position is approximately 3.3*10^-6 m, which corresponds to choice B.

Question 6

The wave function as derived in Schrödinger's equation is best described as being a measure of which of the following?
A)photon beam frequency
B)photon wavelength
C)particle wavelength
D)probability

Accepted Answer

The wave function, as derived from Schrödinger's equation, represents the probability of finding a particle in a particular location. It cannot be used to determine photon properties and it is not a measure of particle or photon wavelength.

Question 7

Due to the dual nature of light and matter, either can act in an experiment as if it is a wave or a particle.In which experiment is the wave aspect exhibited for matter?
A)the Davisson and Germer experiment
B)the photoelectric effect
C)pair production
D)Compton scattering

Accepted Answer

The Davisson and Germer experiment demonstrated the wave nature of matter, specifically electrons, as they diffracted through a crystal lattice.

Question 8

The Heisenberg uncertainty principle places restriction on the precision of simultaneously measuring both position and momentum.This principle can also be applied to the simultaneous measurement of two other variables, which are:
A)force and color.
B)energy and time interval.
C)mass and charge.
D)torque and frequency.

Accepted Answer

The Heisenberg uncertainty principle states that the product of the uncertainties in measuring position and momentum of a particle cannot be smaller than a certain limit. This principle can also be applied to other pairs of variables, such as energy and time interval. The uncertainty principle does not apply to force and color, mass and charge, or torque and frequency. Therefore, the correct choice is B, energy and time interval.

Question 9

An electron microscope operates with electrons of kinetic energy 50.0 keV.What is the wavelength of these electrons? Assume this speed is not relativistic.(h = 6.63 * 10^-34 J*s, c = 3.00 * 10⁸ m/s, 1 eV = 1.60 * 10^-19 J, and m_e = 9.11 * 10^-31 kg) A)9.28 * 10^-10 m B)7.14 * 10^-11 m C)5.49 * 10^-12 m D)2.75 * 10^-13 m

Accepted Answer

The answer of An electron microscope operates with electrons of...

Question 10

According to Heisenberg, as the uncertainty in the measurement of a particle's momentum is reduced by a factor of 2, by what factor is the uncertainty in that same particle's position changed?
A)1/2
B)1
C)2
D)4

Accepted Answer

According to Heisenberg's uncertainty principle, the product of the uncertainties in position and momentum of a particle is a constant value. Mathematically, ∆x • ∆p ≥ h/4π, where ∆x is the uncertainty in position, ∆p is the uncertainty in momentum, and h is Planck's constant. Therefore, if the uncertainty in momentum is reduced by a factor of 2, then ∆p becomes 1/2 times its original value. But since the product of the uncertainties must remain constant, the uncertainty in position (∆x) must increase by a factor of 2, so the answer is C.

Question 11

If an electron has a measured wavelength of 0.850 * 10^-10 m, what is its kinetic energy? (h = 6.63 * 10^-34 J*s, 1 eV = 1.6 * 10^-19 J, and m_e = 9.11 * 10^-31 kg) A)55.0 eV B)104 eV C)147 eV D)209 eV

Accepted Answer

The answer of If an electron has a measured wavelength...

Question 12

The electron microscope's main advantage over the optical microscope is which of the following?
A)greater ease of portability
B)dispenses with need for a lens
C)higher power lens used
D)higher resolution possible

Accepted Answer

The electron microscope has a much higher resolution than the optical microscope, allowing for much greater magnification and detailed imaging of small structures. The other choices are not advantages of the electron microscope over the optical microscope.

Question 13

A proton (mass = 1.67 * 10^-27kg) has a kinetic energy of 1.00 MeV.If its momentum is measured with an uncertainty of 1.00%, what is the minimum uncertainty in its position? (h = 6.63 * 10^-34 J*s and 1 eV = 1.6 * 10^-19 J) A)9.08 * 10^-13 m B)2.28 * 10^-13 m C)9.08 * 10^-14 m D)5.64 * 10^-14 m

Accepted Answer

We can use the Heisenberg uncertainty principle: $\Delta x \Delta p \geq \dfrac{h}{4\pi}$.
We are given the mass and kinetic energy of the proton, so we can calculate its momentum: $p = \sqrt{2mE} = \sqrt{(2)(1.67	imes10^{-27}	ext{ kg})(1.00	imes10^6\cdot1.6	imes10^{-19}	ext{ J})}=3.09	imes10^{-19}	ext{ kg m/s}$.
The uncertainty in momentum is 1.00% of this value: $\Delta p = 0.01(3.09	imes10^{-19}	ext{ kg m/s})=3.09	imes10^{-21}	ext{ kg m/s}$.
Now we can solve for the minimum uncertainty in position: $\Delta x \geq \dfrac{h}{4\pi \Delta p} = \dfrac{(6.63	imes10^{-34}	ext{ J s})}{4\pi(3.09	imes10^{-21}	ext{ kg m/s})} = 2.28	imes10^{-13}	ext{ m}$. Therefore, the answer is B.

Question 14

The "seeing" ability or resolution of radiation is determined by its wavelength.If the size of an atom is approximately 10^-10 m, how fast must an electron travel to have a wavelength smaller than that of an atom? (m_e = 9.11 * 10^-31 kg and h = 6.63 * 10^-34 J*s) A)7.3 * 10⁶ m/s B)3.4 * 10⁶ m/s C)1.0 * 10⁶ m/s D)5.4 * 10⁵ m/s

Accepted Answer

The de Broglie wavelength of an electron is given by λ = h/p, where p is the momentum of the electron. To have a wavelength smaller than that of an atom (10^-10 m), we need λ < 10^-10 m. Therefore, λ = h/p < 10^-10 m => p > h/10^-10 m = 6.63 x 10^-25 kg m/s The momentum of an electron is given by p = mv, where m is the mass of the electron and v is its speed. Therefore, v = p/m > (h/10^-10 m)/9.11 x 10^-31 kg => v > 7.27 x 10^6 m/s Therefore, the electron must travel at a speed greater than 7.27 x 10^6 m/s to have a wavelength smaller than that of an atom. The closest answer choice is A) 7.3 x 10^16 m/s.

Question 15

The de Broglie wavelength of a 0.060 kg golf ball is 4.28 * 10^-34m.What is its speed? (h = 6.63 * 10^-34 J*s) A)15 m/s B)26 m/s C)31 m/s D)48 m/s

Accepted Answer

The de Broglie wavelength of a particle is given by the equation: λ = h/p, where λ is the de Broglie wavelength, h is the Planck's constant, and p is the momentum of the particle.
In this case, we know the mass of the golf ball (0.060 kg) and its de Broglie wavelength (4.28 * 10^-34 m). We can use the following equation to solve for its momentum: 
p = h/λ = (6.63 * 10^-34 J*s) / (4.28 * 10^-34 m) = 1.55 * 10^-19 kg*m/s
Finally, we can use the equation for momentum to solve for the speed of the golf ball:
p = mv, where m is the mass of the golf ball and v is its speed
v = p/m = (1.55 * 10^-19 kg*m/s) / (0.060 kg) ≈ 25.8 m/s ≈ 26 m/s (rounded to two significant figures)
Therefore, the best choice is B.

Question 16

What is the de Broglie wavelength for a proton (m = 1.67 * 10^-27kg) moving at a speed of 6.0 * 10⁶ m/s? (h = 6.63 * 10^-34 J*s) A)2.0 * 10^-13 m B)0.33 * 10^-13 m C)1.3 * 10^-13 m D)0.66 * 10^-13 m

Accepted Answer

The answer of What is the de Broglie wavelength for...

Question 17

That light has a dual nature is referring to light:
A)having high- or low-energy photons.
B)acting as waves and particles.
C)having energy and momentum.
D)undergoing pair production.

Accepted Answer

Light can behave as both a wave and a particle, which is known as wave-particle duality. This means that light can exhibit characteristics of both a wave (such as interference and diffraction) and a particle (such as momentum and energy quantization).

Question 18

The uncertainty principle was derived by whom?
A)Schrödinger
B)Heisenberg
C)de Broglie
D)Compton

Accepted Answer

The uncertainty principle was derived by Werner Heisenberg in 1927.

Question 19

What is the energy of a photon that has the same wavelength as a 12-eV electron? (h = 6.63 * 10^-34 J*s) A)5.6 * 10-16 eV B)12 eV C)24 eV D)3.5 keV

Accepted Answer

The answer of What is the energy of a photon...

Question 20

The Compton wavelength, h/m_ec, equals 0.002 43 nm.In Compton scattering, what is the greatest shift, Äë, in wavelength that can occur? A)Äë > 2 h/m_ec B)Äë = 2 h/m_ec C)Äë = h/m_ec D) < h/m_ec

Accepted Answer

The answer of The Compton wavelength, h/m_ec, equals 0.002 43...

Quiz 27: Quantum Physics

Of photons of red, yellow, light, and blue light, which photons have the greatest energy?

Starting from rest, an electron accelerates through a potential difference of 40 V.What is its de Broglie wavelength? (h = 6.63 * 10^-34 Js, m_e = 9.11 10^-31 kg, and 1 eV = 1.60 * 10^-19 J)

Surface #1 has work function , and when bombarded with photons of wavelength emits photoelectrons with maximum energy .Surface #2 has work function , and when bombarded by photons of wavelength emits photoelectrons with maximum energy .If , then which of the following must be true?

If a ¹H nucleus, a ²H nucleus, and a ³H nucleus all had the same momentum, which one has the greatest de Broglie wavelength?

If the measured momentum of an electron is 3.20 * 10^-27 kgm/s with an uncertainty of 1.6 10^-29kgm/s, what is the minimum uncertainty in the position? (h = 6.63 10^-34 J*s)

The wave function as derived in Schrödinger's equation is best described as being a measure of which of the following?

Due to the dual nature of light and matter, either can act in an experiment as if it is a wave or a particle.In which experiment is the wave aspect exhibited for matter?

The Heisenberg uncertainty principle places restriction on the precision of simultaneously measuring both position and momentum.This principle can also be applied to the simultaneous measurement of two other variables, which are:

An electron microscope operates with electrons of kinetic energy 50.0 keV.What is the wavelength of these electrons? Assume this speed is not relativistic.(h = 6.63 * 10^-34 Js, c = 3.00 10⁸ m/s, 1 eV = 1.60 * 10^-19 J, and m_e = 9.11 * 10^-31 kg)

According to Heisenberg, as the uncertainty in the measurement of a particle's momentum is reduced by a factor of 2, by what factor is the uncertainty in that same particle's position changed?

If an electron has a measured wavelength of 0.850 * 10^-10 m, what is its kinetic energy? (h = 6.63 * 10^-34 Js, 1 eV = 1.6 10^-19 J, and m_e = 9.11 * 10^-31 kg)

The electron microscope's main advantage over the optical microscope is which of the following?

A proton (mass = 1.67 * 10^-27kg) has a kinetic energy of 1.00 MeV.If its momentum is measured with an uncertainty of 1.00%, what is the minimum uncertainty in its position? (h = 6.63 * 10^-34 Js and 1 eV = 1.6 10^-19 J)

The "seeing" ability or resolution of radiation is determined by its wavelength.If the size of an atom is approximately 10^-10 m, how fast must an electron travel to have a wavelength smaller than that of an atom? (m_e = 9.11 * 10^-31 kg and h = 6.63 * 10^-34 J*s)

The de Broglie wavelength of a 0.060 kg golf ball is 4.28 * 10^-34m.What is its speed? (h = 6.63 * 10^-34 J*s)

What is the de Broglie wavelength for a proton (m = 1.67 * 10^-27kg) moving at a speed of 6.0 * 10⁶ m/s? (h = 6.63 * 10^-34 J*s)

That light has a dual nature is referring to light:

The uncertainty principle was derived by whom?

What is the energy of a photon that has the same wavelength as a 12-eV electron? (h = 6.63 * 10^-34 J*s)

The Compton wavelength, h/m_ec, equals 0.002 43 nm.In Compton scattering, what is the greatest shift, Äë, in wavelength that can occur?

Quiz 27: Quantum Physics

Of photons of red, yellow, light, and blue light, which photons have the greatest energy?

Starting from rest, an electron accelerates through a potential difference of 40 V.What is its de Broglie wavelength? (h = 6.63 * 10-34 J*s, me = 9.11 * 10-31 kg, and 1 eV = 1.60 * 10-19 J)

Surface #1 has work function , and when bombarded with photons of wavelength emits photoelectrons with maximum energy .Surface #2 has work function , and when bombarded by photons of wavelength emits photoelectrons with maximum energy .If , then which of the following must be true?

If a 1H nucleus, a 2H nucleus, and a 3H nucleus all had the same momentum, which one has the greatest de Broglie wavelength?

If the measured momentum of an electron is 3.20 * 10-27 kg*m/s with an uncertainty of 1.6 * 10-29 kg*m/s, what is the minimum uncertainty in the position? (h = 6.63 * 10-34 J*s)

The wave function as derived in Schrödinger's equation is best described as being a measure of which of the following?

Due to the dual nature of light and matter, either can act in an experiment as if it is a wave or a particle.In which experiment is the wave aspect exhibited for matter?

The Heisenberg uncertainty principle places restriction on the precision of simultaneously measuring both position and momentum.This principle can also be applied to the simultaneous measurement of two other variables, which are:

An electron microscope operates with electrons of kinetic energy 50.0 keV.What is the wavelength of these electrons? Assume this speed is not relativistic.(h = 6.63 * 10-34 J*s, c = 3.00 * 108 m/s, 1 eV = 1.60 * 10-19 J, and me = 9.11 * 10-31 kg)

According to Heisenberg, as the uncertainty in the measurement of a particle's momentum is reduced by a factor of 2, by what factor is the uncertainty in that same particle's position changed?

If an electron has a measured wavelength of 0.850 * 10-10 m, what is its kinetic energy? (h = 6.63 * 10-34 J*s, 1 eV = 1.6 * 10-19 J, and me = 9.11 * 10-31 kg)