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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.
different btn elesticity of demand and inelasticity of demand
Yao''s weekly demand for basketballs is given by Qd = 3-P^2 where P is the price of basketballs. At the current price, Yao''s demand for basketballs is unit elastic. What is the cu
What is return on investment? Return on investment is the profit earned by investing in some business or some project, for instance investment in stock exchange. Profit earned
Question: (a) With the help of diagrams, explain how the price and quantity demanded or supplied of fuel will change under the different scenarios: (i) Consumers expect a fu
Suppose a banking system with the following balance sheet has no excess reserves. Assume that banks will make loans in the full amount of any excess reserves that they acquire and
What are the problems of interest for several reasons in cost minimization? Cost Minimization: A significant implication of the firm choosing a profit-maximizing producti
Axioms: Revealed preference theory is based on the axioms listed below. • Consumer will spend all her income on goods. The consumer equilibrium always remains on the budg
Explain how Monetarist economics views the role of markets and government intervention in fighting business cycles. Monetarist economics believes that the government should fol
Elasticity of Demand This is a measure of how responsive the sales volume of goods is to changes in that product's price, equal to the marginal change in sales, divided by the
would a rational producer be concerned with the average or marginal product of an input in deciding whether or not to hire the inputs?
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