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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 production function for a firm is expressed as follows: Q = 800K - K 2 +5KL - 7750L + 10,000 Where Q is quantity of units manufactured, K and L are units of capital and
You have decided to sell some goods at a local music festival. You have hired a sales stand for $500. Your cost per item is $3 and you will sell each item for $5. When you did your
During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use supply and demand diagrams, how the following markets are affected in terms of pr
Cost Functions for the Electric Power Sector Scale Economies in the Electric Power Industry Average Cost of Production in Electric Power Industry * Findings -
short run equilibrium of the industry
Would a risk loving person prefer an increase in the chance of winning the lottery by 20% or an increase in the jackpot of 20%
Strictly give the diff. btw the theory of reciprocal demand & theory of comparative advantage
Normal profit: Normal profit is when total revenue is exactly equal to total cost when the latter includes both explicit costs. It is the type of profit when made by firms in
Define law of supply. Quantity supplied rises as price raises, other things constant. In other words, "Other things being equivalent, when the price of a product rises, then s
The End of the Malthusian Age We clearly no longer live in a Malthusian age. For at least 200 years improvements in the efficiency of labor made possible by new technologies a
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