Question

An electron is confined in a harmonic oscillator potential well.
What is the longest wavelength of light that the electron can
absorb if the net force on the electron behaves as though it has a
spring constant of 74 N/m? ( _{el} = 9.11 ×
10^{-31} kg, *c* = 3.00 × 10^{8} m/s, 1 eV =
1.60 × 10^{-19} J, = 1.055 × 10^{-34} J
· s, *h* = 6.626 × 10^{-34} J · s)

A. 220 nm |

B. 230 nm |

C. 200 nm |

D. 210 nm |

Answer #1

What is the frequency f in Hz of light that has
wavelength 157 nm? (Use
1 eV = 1.602 ✕ 10−19 J,
e = 1.602 ✕ 10−19 C,
c = 2.998 ✕ 108 m/s,
and
h = 6.626 ✕ 10−34 J · s = 4.136 ✕
10−15 eV · s
as necessary.)

Calculate the wavelength of the photon emitted when an electron
makes a transition from n=5 to n=3. You can make use of the
following constants: h=6.626×10−34 J⋅s c=2.998×108 m/s 1 m=109
nm

Calculate the wavelength of the photon emitted when an electron
makes a transition from n=5 to n=3. You can make use of the
following constants: h=6.626×10−34 J⋅s c=2.998×108 m/s 1 m=109
nm

An electron is confined in a Harmonic potential well with spring
constant of 60N/m.
a. What are the energies of its first THREE quantum states?
b. What is the lowest frequency of its emission photon?
c. If the spring constant increases, how will the above values
changes? Why?

An electron having total energy E = 3.40 eV approaches
a rectangular energy barrier with U = 4.10 eV and
L = 950 pm as shown in the figure below. Classically, the
electron cannot pass through the barrier because E <
U. Quantum-mechanically, however, the probability of
tunneling is not zero.
(a) Calculate this probability, which is the transmission
coefficient. (Use 9.11 10-31 kg for the mass
of an electron, 1.055 10-34 J · s for ℏ, and
note that there are...

Through what potential difference ΔV must electrons be
accelerated (from rest) so that they will have the same wavelength
as an x-ray of wavelength 0.145 nm ?
Use 6.63×10−34 J⋅s for Planck's constant,
9.11×10−31 kg for the mass of an electron, and
1.60×10−19 C for the charge on an electron. Express your
answer using three significant figures.

When ultraviolet light with a wavelength of 400 nm falls on a
certain metal surface, the maximum kinetic energy of the emitted
photoelectrons is 1.10 eV .
What is the maximum kinetic energy K_0 of the photoelectrons
when light of wavelength 340 nm falls on the same surface?
Use h = 6.63×10−34 J⋅s for Planck's constant and c =
3.00×108 m/s for the speed of light and express your
answer in electron volts.
View Available Hint(s)
K_0 =
eV

When ultraviolet light with a wavelength of 400 nmfalls on a
certain metal surface, the maximum kinetic energy of the emitted
photoelectrons is 1.10 eV .
What is the maximum kinetic energy K0 of the
photoelectrons when light of wavelength 350 nm falls on the same
surface?
Use h = 6.63×10?34 J?s for Planck's constant
and c = 3.00×108 m/s for the speed of light and
express your answer in electron volts.

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