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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.
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Price Level:Overall average level of nominal prices in the economy can be calculated, most often as a weighted average of the prices of individualservices and goods (with weighting
Cyclical Fluctuations: Consider a situation where the value of money above trend indicates an unexpectedly high level of money in the recent past. The model predicts that this
The production function for (a Music company ) their CDs is q= 25*K*L , where q is the number of CDs produced each month, K is the hours of equipment used, and L is the hours of la
Island Economy: Consider an economy as a sea with islands of local markets. Each household produces goods and sells them on one and only one of the arrays of these markets. Go
a) Consider the following flows (in thousand of people) between the various labour market states in a particular month: UE = 240 000; UNLF = 180 000; EU = 190 000; NLFU = 220 000
Sample Survey and Test Marketing: Under this method some representative households are selected on random basis as samples and their opinion is taken as the generalized opinio
Question: Third degree price discrimination Suppose that a monopolist faces two markets with demand curves given by D(p 1 ) = 100 - p 1 D(p 2 ) = 100 - 2p 2 Assume that
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