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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.
Black Economy Public Policy Interface: The above mode of functioning and expansion of the black economy became an important basis for policy disruption in India. The undergrou
The basic concepts of price theory
CleanAuto Inc. has four workers: Julie, Ian, Devon, and Thomas. CleanAuto Inc. provides two services: interior vacuuming and exterior wash. Julie can perform each of these tasks in
Two firms produce a pollutant called Q. The total costs of reducing emissions of Q are as follows for Firm 1 and Firm 2, respectively: TC1=10+100Q12 TC2=20 + 50Q22. This means tha
Question 1: The socio economic development of Mauritius has been marked by growth cycles, representing different approaches adopted by Government to meet the internal as well
a. The diagram above depicts the current position of a hypothetical economy using the Keynesian Income/Expenditure approach. If national income is currently at Y1 explain why this
1. "Price discrimination allows a monopoly to increase its economic profit by capturing part of the consumer surplus and turning it into economic profit. Such a situation however l
characteristics of microeconomics
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Poverty: A state of having inadequate income or other resources to support a household (or group of households) at a basic standard of living. Poverty can be measured in absoluterr
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