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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.
summary of general equilibrium
Elasticities of supply and demand Other Demand Elasticities – Income elasticity of demand calculates the percentage change in quantity demanded resulting fro
Government Budget Deficits Governments have been traditionally spending more what they could earn by way of taxes and sale of economic goods and services produced by them. The
Prove that the utility approach and the indifference curve approach yield the same consumer equilibrium.
COST-OF-LIVING INDEXES * The CPI is computed each year as the ratio of cost of a typical group of consumer goods and services today in comparison to the cost during a base per
using necessary and sufficient condition explain consumer surplus diagrammically and mathematically?
A portion of the demand schedule for wax candles (per case) is shown below. Px $50 $30 $10 Qx 500 600 700 What is the demand curve (straight line) that corresponds to the schedu
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
What is affected variable and cause variable? In a graph, one variable is dependant and the other is independent. The dependant variable is known as effect variable and indepe
Economists view depreciation as capital consumption for them, there are two distinct ways of charging for depreciation (1) the depreciation of equipment must equal its opportunity
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