Chapter 6: Problem 9
For the same monochromatic light source, would the photoelectric effect occur for all metals?
Chapter 6: Problem 9
For the same monochromatic light source, would the photoelectric effect occur for all metals?
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Get started for freeSingly ionized atomic helium \(\mathrm{He}^{+1}\) is a hydrogen like ion. (a) What is its ground-state radius? (b) Calculate the energies of its four lowest energy states. (c) Repeat the calculations for the \(L i^{2+}\) ion.
The momentum of light, as it is for particles, is exactly reversed when a photon is reflected straight back from a mirror, assuming negligible recoil of the mirror. The change in momentum is twice the photon's incident momentum, as it is for the particles. Suppose that a beam of light has an intensity \(1.0 \mathrm{kW} / \mathrm{m}^{2}\) and falls on a \(-2.0-\mathrm{m}^{2}\) area of a mirror and reflects from it. (a) Calculate the energy reflected in 1.00 s. (b) What is the momentum imparted to the mirror? (c) Use Newton's second law to find the force on the mirror. (d) Does the assumption of norecoil for the mirror seem reasonable?
The de Broglie wavelength of a neutron is 0.01 nm. What is the speed and energy of this neutron?
X-rays form ionizing radiation that is dangerous to living tissue and undetectable to the human eye. Suppose that a student researcher working in an X-ray diffraction laboratory is accidentally exposed to a fatal dose of radiation. Calculate the temperature increase of the researcher under the following conditions: the energy of X-ray photons is \(200 \mathrm{keV}\) and the researcher absorbs \(4 \times 10^{13}\) photons per each kilogram of body weight during the exposure. Assume that the specific heat of the student's body is \(0.83 \mathrm{kcal} / \mathrm{kg} \cdot \mathrm{K}\).
A triply ionized atom of beryllium \(\mathrm{Be}^{3+}\) is a hydrogen-like ion. When \(\mathrm{Be}^{3+}\) is in one of its excited states, its radius in this \(n\) th state is exactly the same as the radius of the first Bohr orbit of hydrogen. Find \(n\) and compute the ionization energy for this state of \(\mathrm{Be}^{3+}\).
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