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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.
the definition of exceptional supply curve
if a monopolist makes economic profits, new firms enter the market and compete with the monopolist in the long run.
What are the major differences between the equilibrium of profit maximiser and sales revenue maximiser?
Suppose that the short-run world demand and supply elasticities for crude oil are -0.076 and 0.088, respectively. The current price per barrel is $30 and the short -run equilibrium
use a graphical illustration to describe briefly what the influence of each of the following be on the market supply of labour,(a) an increase in immigrants, (b) a reduction in wag
What is the explanation for SAC to be tangent to LAC?(In other words, why must both be tangent to each other)?
What are the three major types of unemployment? a) Frictional b) Structural and c) Cyclical unemployment. Cyclical unemployment is broadly spread by an economy durin
It is necessary for the proper understanding of the price theory to know the various concepts of cost that are often employed. When an entrepreneur undertakes production of a commo
A newspaper recently lowered its price from 50 cents to 30 cents. As it did, the number of newspapers it sold increased from 240,000 to 280,000. i) Over this price range what
Consider an economy with high innovative potential, but where saving is insufficient to fund innovative investments. Use Garrison's capital-based macroeconomics to explain how more
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