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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.
indifference curve and budget line
Homework 4 Q1. Suppose a consumer has utility function (u) = xy where x and y are amounts of two commodities that this consumer consume. Suppose this consumer’s income is $120, pri
The following model shows the consumption function given: Ct = AD t β 2 Where A and β 2 are unknown constants and D is disposable income. (a) Show how by taking logari
THEORY OF DEMAND: The consumer behaviour under indifferencecurve approach where it is assumed that the consumer possesses a utilityfunction. The next most important theory th
Market demand and supply of a good is shown by QB = 2,160 - 180P and QS = -2400 + 300P where QD, QS and P stand for quantity demanded, quantity supplied and price respectively. (a
Let Consider the following insurance market. There are two states of the world, B and G , and two types of consumers, H and L, who have probabilities p H =0.5 and p L
Determine the population growth rates Birth control meant that those who didn't wish to have more children can exercise their choice. Parents began to find more satisfaction o
What are economies of scale and diseconomies of scale? In economics, returns to scale and economies of scale are terms that are related and sometimes incorrectly used intercha
Ask qExplain why each of the following factors may influence the own price elasticity of demand for a commodity. (i) Consumer preferences, that is, whether consumers regard the com
objective of afirm
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