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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.
critically analysis firm theory of profit maximization?
Select a news article dated within the previous two months and analyze the issue using the economic concepts and theory learned in this class
Explain what the phrase “price rationing” means. Price rationing is the method by which the market system assigns goods and services to consumers while quantity demanded exceeds
Describing Risk * To measure risk we should know: 1) All the outcomes which are possible. 2) The probability that each outcome will occur. * Interpreting Probability
why is international trade important for south africa
According to the Linder theory ,trade will occur in goods that have overlapping demand. With aid of a graph ,illustrate this theory and its implications
What are the possibilities of returns to scale in production technology? Three possibilities are there as: technology exhibits (a) constant returns to scale; (b) decreasing ret
The demand functions for two related commodities are expressed as follows Q 1 = (12P 2 3/4 ) / (P 1 1/2 ) Q 2 = (24P 1 2 ) / (P 2 3/5 ) Where Q 1 and Q 2 are d
Financial relationship with the IMF: IMF provides temporary assistance to member countries to tide over BOP deficits. When a country requires foreign exchange, its tenders its
what is the theory of second best? prove the theorem with the help of a diagram.
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