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Consider the equation E=hf, where E is the energy of light, h isPlanck's Constant and f is frequency. This means that photons of light can occur:

a. with any value for energy
b. with only even amounts of energy
c. with only energies of multiples of Planck's Constant.
d. none of the above

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1) We shine light onto a metal surface. We observe that someelectrons are emitted from the metal surface if the frequency ofthe light exceeds some critical frequency f0 = F/h, where F = thework function for this metal. What happens if the light's frequencyf is less than f0? ( Ignore reflections off the metalsurface.)

a) The electrons leave the metal but are attracted back toit.
b) The photons get absorbed by the electrons but the electrons stayinside the metal.
c) Whether or not any electrons leave the metal depends on theintensity of the light.

2) Now we shine light of a frequency f > f0 onto the metalsurface and in addition apply a voltage V between the metal and theelectrode. What happens if V is a tiny bit larger than (1/e) (hf -F )?

a) Some electrons barely make it to the other electrode.
b) All electrons turn around before reaching the otherelectrode.
c) No electrons escape the metal.

3) Consider a photon with a frequency of 1 GHz. What is the ratioof its wavelength ?? to the de Broglie wavelength ?e of an electronwith the same kinetic energy? (Note: It is standard to use thesubscript '?' to stand for photons.)

??/?e =
a) 2.01e-006
b) 1.21e-003
c) 1
d) 8.24e+002
e) 4.97e+005

4) The mass of the electron is 0.511 Mev/c2. A muon µ can beregarded as an electron with mass mµ = 105.7 MeV/c2.
Let the muon have kinetic energy E.
Define ?µ to be the de Broglie wavelength of the muon with energyE.
Define ?e to be the de Broglie wavelength of an electron with thesame energy E.
Calculate the ratio of wavelengths ?µ/?e.

?µ/?e =

a)0.005
b)0.070
c)1.
d)14.382
e)cannot be determined from the information given
5) Electrons diffract when passing through a small hole in ascreen. If we make the hole smaller, the angular spread in thediffracted electrons will

a) decrease.
b) stay the same.
c) increase.

Consider an harmonic oscillator with spring constant k and massm.
- Find the classical frequency of this oscillator as a function ofthe spring constant and m.

In quantum mechanics, the spectrum of possible energies for thisoscillator is given by: En = hf (n + 1/2) where n is a naturalnumber: n = 0, 1, 2, 3, ..., h is Planck’s constant and f is thefrequency.
- Find the ground state energy as a function of the spring constantand the mass.
- What is the difference of energy between the second excited stateand the ground state?
- Assume now that the oscillator carries a unit of charge, what isthe wavelength of the photon emitted as a function of k and m whenthe oscillator goes from the first excited state down to the groundstate?
- What is the wavelength of the emitted photon of the previousquestion if k = 10eV/ °A2, where °A denotes Angstrom and eV:electron volt. Is the emitted photon in the visible spectrum of ahuman eye?

thank you so much for any help!

Consider an harmonic oscillator with spring constant k and massm.
- Find the classical frequency of this oscillator as a function ofthe spring constant and
m.
In quantum mechanics, the spectrum of possible energies for thisoscillator is given by:
En = hf (n + 1/2) where n is a natural number: n = 0, 1, 2, 3, ...,h is Planck’s constant
and f is the frequency.
- Find the ground state energy as a function of the spring constantand the mass.
- What is the di?erence of energy between the second excited stateand the ground
state?
- Assume now that the oscillator carries a unit of charge, what isthe wavelength of
the photon emitted as a function of k and m when the oscillatorgoes from the ?rst
excited state down to the ground state?
- What is the wavelength of the emitted photon of the previousquestion if k = 10eV /°A
2
,
where °A denotes Angstrom and eV: electron volt. Is the emittedphoton in the visible
spectrum of a human eye?

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