Show that the delay line does not alter the spectral characteristics of an input process. (Please provide mathematical proof with details step by step).
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- 9.1. Consider the results for ideal gases derived from quantum mechanics. Write an expression for the function s(T, v) that includes the parameter A(T). (a) Show that the behavior of the entropy as T0 is unrealistic in a quantum sense. What approximation in the derivation is responsible for this behavior? (b) The Sackur-Tetrode equation is valid when the thermal de Broglie wave- length is much less than the average molecular separation distance, A(T) < (V/N)13, which is generally the case at high temperatures. Calculate the temperature at which this inequality is first violated for an ideal gas at atmospheric pressure and with a mass of 6.6 × 10-26 kg/molecule (which is typical of argon). x•2.6 (c)-(f) • (c) Show that the grand canonical partition function of an ideal gas can be written as Zg = exp expleßu 23 (d) Use the expression for Zg to calculate the mean value for N, P, S, and show that PV = NkgT and that the Gibbs-Duhem equation gives E = ?NkgT.Asystem consist of 5 indistinguishable particles, the total energy U=8£ , the degenerey gi = 4 for each energy level, the distribution of the particles on the energy levels shows in the figure (note that, there is no restriction on the number of particles on each energy state and there is no zeroth energy level). Calculate the entropy of the system( K3=8.62 x10 eVK'). k 1 2 3 4 5 6 N . EYE 4 3 2 . 1 :: .. w 5.59 x10-4 eVK-140 6.59 x10-5 eVK-1 80 7.59 x10-6 eVK-1.00
- Note: use of ai tools will be given down voted.REMARKS The answer to part (b) is only an estimate because the temperature coefficient is, in fact, temperature dependent. As the temperature rises, both the rms speed of the electrons in the metal and the resistance increase. QUESTION What happens to the drift speed of the electrons as the temperature rises? (Select all that apply.) It becomes larger, so that the resistance decreases and current increases. It remains the same. It becomes smaller because the atoms of the metal vibrate more strongly and interfere more with electron drift motion. It becomes larger because the electrons become more energetic and move faster. It becomes smaller, so that the resistance increases and current decreases. PRACTICE IT Use the worked example above to help you solve this problem. A resistance thermometer, which measures temperature by measuring the change in resistance of a conductor, is made of platinum and has a resistance of 50.0 2 at 20.0°C. (a) When the device is immersed in a vessel…The following (Attached image) is an external quantum efficiency of a CZTS solar cell with structure Glass/Mo/CZTS/CdS/AZO/Ag. The ideal QE curve would be a rectangle (red curve). The experimental QE is much less than the ideal one because of losses at different regions outlined 1, 2, 3 and 4. Please explain what are those losses.