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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.
THEORY OF INTER-TEMPORAL CONSUMPTION: In the previous two units, we have been concerned with choices among contemporaneous commodities. An important class of choices made by c
meaning of economics laws
Return on Equity: It's a measure of business profitability equal to net after-tax income divided by average level of shareholders' equity in the business. Sales Tax: A tax im
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What is Deflation? Deflation in economics refers to reduce in the general price level, i.e. the nominal cost of goods and services as well as wages reduce. As, it is an opposi
How much would the price of Good Z (Pz) have to change in order to increase the consumption of Good C by twenty five percent (25%)?
I would tend to think that a 5% per year goal is more reasonable. Smaller incremental goals always appear to be more attainable, while more radical goals may actually be more diffi
During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use of supply and demand diagrams, how the following markets are affected in terms of
note for assignment
Mamun has a weakly income of 600 dollars. Price of chocolate is 5 dollar and price of potato is taka 10. Both are normal goods. Show the income and substitution effect for each of
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