Chapter 29: Q17CQ (page 1061)
Can a single microwave photon cause cell damage? Explain.
No, it can't cause any damage because it has very low energy.
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(a) Calculate the energy in \({\rm{eV}}\) of an \({\rm{IR}}\) photon of frequency \({\rm{2}}{\rm{.00 \times 1}}{{\rm{0}}^{{\rm{13}}}}{\rm{ Hz}}\).
(b) How many of these photons would need to be absorbed simultaneously by a tightly bound molecule to break it apart?
(c) What is the energy in \({\rm{eV}}\) of a \(\gamma \) ray of frequency \({\rm{3}}{\rm{.00 \times 1}}{{\rm{0}}^{{\rm{20}}}}{\rm{ Hz}}\)?
(d) How many tightly bound molecules could a single such \(\gamma \) ray break apart?
Question: What is the wavelength of EM radiation that ejects \(2.00\,{\rm{eV}}\) electrons from calcium metal, given that the binding energy is \(2.71\,{\rm{eV}}\)? What type of EM radiation is this?
Question: (a) Find the energy in joules and eV of photons in radio waves from an FM station that has a \({\rm{90}}{\rm{.0 - MHz}}\) broadcast frequency. (b) What does this imply about the number of photons per second that the radio station must broadcast?
Consider a laser pen. Construct a problem in which you calculate the number of photons per second emitted by the pen. Among the things to be considered are the laser pen’s wavelength and power output. Your instructor may also wish for you to determine the minimum diffraction spreading in the beam and the number of photons per square centimetre the pen can project at some large distance. In this latter case, you will also need to consider the output size of the laser beam, the distance to the object being illuminated, and any absorption or scattering along the way.
Experiments are performed with ultra cold neutrons having velocities as small as \[{\bf{1}}{\bf{.00}}\;\frac{{\bf{m}}}{{\bf{s}}}\].
(a) What is the wavelength of such a neutron?
(b) What is its kinetic energy in eV?
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