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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.
how to differentiate the exeptional demand and exceptional supply?
Water Meter Replacement Program: Typically water providers install meters at each service address, read meters monthly and charge customers according to their usage. In resid
law of diminishing returns
Direct and Indirect Benefits Life time earnings of an educated person is an instance of direct benefit from education. Skills produced in training or extension programmes in a
An important aspect of municipal finance involves capital budgeting and resource allocation. In some cases, resource allocations involve expenditures that are not directly revenue
Expected Utility: Theory Assume that a utility index exists which conforms to the five axioms. The expected utility for the two-outcome lottery L = (P, A, B) is given by,
Deadline is 20 Hours... 1. A. Explain how one derives the indifference curves from a 3-dimensional utility function. Draw a graph and explain. Which principle explains the concav
What types of questions would concern microeconomics, versus macroeconomics? Microeconomics concerns itself with decision-making of individual consumers, firms and other organ
equation for a demand curve is p=2/q. what is the elasticity of demand if price falls from 5 to 4
1. Refer to the data in the file "asm2Q1.xls" on the annual number of fatalities (FATALS, y ) from gas and dust explosion in coal mines for the years 1915 to 1978 and the number o
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