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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
Question : (a) Explain why each of the following factors may influence the own price elasticity of demand for a commodity. (i) Consumer preferences, that is, whether c
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use a graphical illustration to briefly describe what the influence of an increase in immigrants would be on the market supply of labour
#questThe demand for and supply of labour in a certain industry are given by the equations Nd = 400 - 2w Ns = 240 + 2w Where Nd ( is the number of workers employers want to hire
Mathematical Presentation of Utility maximisation: Consumer's objective is to maximise her utility by solving UMP. To solve UMP, we set the Lagrange function of the correspond
What is the Adam smith view of "invisible Hand"? Invisible hand is an unknown power which is working for the interest of total economy. In any economy, everybody cares for his
During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use supply and demand diagrams, how the following markets are affected in terms of pr
Provide an economic explanation of what you have shown in your diagram above. Iceland was a small open economy with perfect capital mobility. Consequently, the equilibrium domesti
1) What are the most important challenges that economists try to address? (2) What is the role of government in a market based economy? (3) Who are the main economic players
Lorie teaches singing.Herr fixed cost are $1000 a month,and it costs her $50 of labor to give one class.the table shows the demand schedule for lorie''s singing lessons. Price
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