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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.
Q. What is Economic efficiency? Economic efficiency Explain a situation where the total value of the end uses, to which the resources are put, is maximised. A consequence is th
What is an optimization in the methods of mathematics of modern economics? Optimization is a basic tool for the development of modern microeconomics analysis. Many of economic
What is the difference between a change in demand and a change the quantity demanded? There is a distinction among demand and quantity demanded. Demand explains the behavior o
Inflation is not possible under the gold standard.” Is this statement true, false, or uncertain? Explain your answer.
why diminish MRS?
Because of your reputation as an expert in economic analysis, you have been hired as vice president of a business consulting firm named Economists R Us. This firm provides consult
Qustions: You are the sales manager at SoftSystem, a dominant firm that produces operating system. The new operating system, Doors XR, has been newly developed. Its demand is e
Suppose that a firm’s production function is given by Q=30L-3L2, where L is labor input and Q is the output. a) Derive and draw the firm’s demand for labor while the firm’s produ
Question (a) Describe clearly the three concepts of elasticity of demand. Use appropriate examples and diagrams to support your answer. (b) Consider you have been appointed
how can a price ceiling make consumers better-off? under what conditions might it make them worse off?
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