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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.
Economies and Diseconomies of Scale -Economies of Scale Increase in the output is greater than increase in the inputs. -Diseconomies of Scale Increase in the
Problem 1: i) ‘There is a trade-off between inflation and unemployment.' Do you agree with this statement? Justify your example using appropriate diagrams. ii) Mauritius is
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
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Explain how consumers might benefit from the existence of monopolies. While the standard issue of monopolies having higher prices and lower output that competitive markets migh
Assume you go to the market to buy apples (x1) and oranges (x2) and discover that the price of apples is 1 euro per unit and the price of oranges is 1 per unit when you buy less th
In an updated GDP that contains household production, how would the purchase of a car or appliance for household use be treated? A car or appliance would be treated as a househ
the diagram used to illustrate abnormal and normal progits
What are the economies and diseconomics of scale?
Below are the two estimated cost functions. describe what type of data was most likely used to estimate each one and why. Explain which is a short- run function, determine the leve
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