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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.
In year one, suppose the federal government has no national debt and spends $100 billion, while raising only $50 billion in taxes. The U.S. Treasury will issue $ billion of governm
Monica consumes only goods A and B. Suppose that her marginal uility from consuming good A is equal to 1/Qa, and her marginal utility from consuming good B is 1/Qb. If the price of
Elimination of waste - Stock Management Here is a definition of the elimination of waste: Anything other than the minimum amount of equipment, material, parts and working t
Using tools of indifference curve, highlight on consumption in business economics.
Problem 1: i) Is Protectionism always beneficial? Discuss. ii) To what extent can a country actually rely on the principle of Comparative advantage before engaging in in
causes and effect of the unemployment
demand: Qd=100=Px supply: MC=10+1/2Qs assume first that this firm operates in a perfectly competitive market. find the price and quanity in this market.
RECENT DEVELOPMENT IN DEMAND ANALYSIS: For many years economic theorists analysed the optimal behaviour of consumers while econometricians estimated consumer demand and expend
Creating Mobile Telephone Infrastructure: The second concept of subsidising the telecom infrastructure required for providing services in rural and remote areas is designed to
1. Implicit and explicit revenues minus implicit and explicit costs equals: A. accounting profit. B. economic profit. C. zero profit. D. implicit profit. 2. A business owner mak
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