Chapter 38: Q6P (page 1181)
What is the photon energy for yellow light from a highway sodium lamp at a wavelength of 589 nm?
Short Answer
The photon energy of the light is 2.1 eV.
Chapter 38: Q6P (page 1181)
What is the photon energy for yellow light from a highway sodium lamp at a wavelength of 589 nm?
The photon energy of the light is 2.1 eV.
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Get started for freeJust after detonation, the fireball in a nuclear blast is approximately an ideal blackbody radiator with a surface temperature of about .
(a) Find the wavelength at which the thermal radiation is maximum and (b) identify the type of electromagnetic wave corresponding to that wavelength. This radiation is almost immediately absorbed by the surrounding air molecules, which produces another ideal blackbody radiator with a surface temperature of about .
(c) Find the wavelength at which the thermal radiation is maximum and (d) identify the type of electromagnetic wave corresponding to that wavelength.
Question: You will find in Chapter 39 that electrons cannot move in definite orbits within atoms, like the planets in our solar system. To see why, let us try to “observe” such an orbiting electron by using a light microscope to measure the electron’s presumed orbital position with a precision of, say, (a typical atom has a radius of about localid="1663132292844" ). The wavelength of the light used in the microscope must then be about . (a) What would be the photon energy of this light? (b) How much energy would such a photon impart to an electron in a head-on collision? (c) What do these results tell you about the possibility of “viewing” an atomic electron at two or more points along its presumed orbital path? (Hint:The outer electrons of atomsare bound to the atom by energies of only a few electron-volts.)
Light strikes a sodium surface, causing photoelectric emission. The stopping potential for the ejected electrons is 50 V, and the work function of sodium is 2.2 eV. What is the wavelength of the incident light?
Question: In Eq. keep both terms, putting . The
equation then describes the superposition of two matter waves of
equal amplitude, traveling in opposite directions. (Recall that this
is the condition for a standing wave.) (a) Show that is
then given by
(b) Plot this function, and demonstrate that it describes the square
of the amplitude of a standing matter wave. (c) Show that thenodes of this standing wave are located at where
and is the de Broglie wavelength of the particle. (d) Write a similar
expression for the most probable locations of the particle.
The highest achievable resolving power of a microscope is limited only by the wavelength used; that is, the smallest item that can be distinguished has dimensions about equal to the wavelength. Suppose one wishes to “see” inside an atom. Assuming the atom to have a diameter of , this means that one must be able to resolve a width of, say, .
(a) If an electron microscope is used, what minimum photon energy is required?
(b) If a light microscope is used, what minimum photon energy is required?
(c) Which microscope seems more practical? Why?
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