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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.
What types of external economies generates the output which reduces the costs of the firms in it? The chief example of external economies provided by marshal are (i) improved
Determine the industrial core of world economy The industrial core of world economy saw its level of material productivity and standards of living explode in the 19th and 20th
Q. What is Climate Change? Climate Change:As a consequence of cumulative emission of carbon dioxide (a by-product of fossil fuel use) and other chemicals over past two centurie
Price Discrimination: occurs when the same product is sold at different prices to different consumers. A monopolist divided his consumers into groups and sells his product at vary
Around 2007, the world copper price was $2.00 per pound and 12 million metric tons per year was the quantity transacted. A) Assume copper’s demand elasticity is -.5 and supply elas
1. Using personal (work) experience or examples found from companies you research or from text book scenarios: a. Give an example of at least two "conflicting measurements" bei
Explain the difference between a change in quantity demanded and a change in demand. Change in quantity demanded" refers to movement with the demand curve. For instance, if th
What is significance of methodological economics...
The production function for (a Music company ) their CDs is q= 25*K*L , where q is the number of CDs produced each month, K is the hours of equipment used, and L is the hours of la
Write the formulas to show the reactants and products for the following reactions. Assume that solutions are aqueous unless otherwise indicated. Represent substances in solutions a
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