![]() ![]() As the temperature of an object increases, there is an increased probability of emitting radiation with higher frequencies, corresponding to higher-energy quanta. ![]() In this lab, David Weiss and I worked together again. This theory is described by the equation E n h f, E n h f, where n is any nonnegative integer (0, 1, 2, 3, ) and h is Planck’s constant, given by h 6.626 × 10 34 J s, h 6.626 × 10 34 J s, and f is frequency. One common method relies on the energy of the light emitted by the LED and its relation to the energy gap in the solid of which the diode is composed. Multiplying by the value for e, one may calculate the value of h, Plancks constant. Light emitting diodes have been used to determine Plancks constant in introductory physics laboratories. The lower (blue) curve is total energy according to the Wien approximation, / (). ![]() The upper (black) curve depicts the StefanBoltzmann law. We can understand Planck’s explanation of the ultraviolet catastrophe qualitatively as follows: At low temperatures, radiation with only relatively low frequencies is emitted, corresponding to low-energy quanta. Plancks constant can be found through the equation: E h frequency KE(max) + Wo which can be rewritten in the form V(stopping) h/e f + Wo/e, the equation of a line with slope equal to h/e. Total emitted energy,, of a black body as a function of its temperature. By assuming that energy can be emitted by an object only in integral multiples of \(hν\), Planck devised an equation that fit the experimental data shown in Figure 1.2.1 \,J\cdot s \nonumber \]Īs the frequency of electromagnetic radiation increases, the magnitude of the associated quantum of radiant energy increases. ![]()
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