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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 is an iso curve
Draw an indifference curve for consumption and hours of work. (Hint: in class we discussed indifference curves for consumption and hours of leisure, this is different.)
price falls and demand is elstic
Explain why each of the following factors may influence the own price elasticity of demand for a commodity. The narrowness of the definition of the commodity
what is discounting principle?
what is supply and demand
Consider a market that is served by a single-price monopolist with marginal cost given by MC = $100 + Q. The market demand is given by P = $800 – 3Q. Determine the following: the f
Price | Quantity demanded _________________________ 0 250 50 200 100 150 150 100 200 50 250 0 A) Calculate Lorie''s profit-maximizing output, price, and economic profit. B) Do yo
1. Why is a proprietary good necessary for a firm to choose to become a multinational? 2. In Ramondo, Rappoport, and Ruhl (2011), "Horizontal vs. Vertical FDI: Revisiting Evi
what are the uncontrolled variables you think may affect the segment of your camera
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