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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.
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
Consider the following information relating to the pulp market. Demand Supply Output(tonnes/ da
Inflation-Unemployment Trade-off under Rational Expectations : Robert Lucas (1972) pointed out another implication of the above hypothesis of adaptive expectations. Suppose in
Problem 1: i) ‘There is a trade-off between inflation and unemployment.' Do you agree with this statement? Justify your example using appropriate diagrams. ii) Mauritius is
explain the concept of producers'' equilibrium
Q. Define government surplus? Surplus, Government:It's a government surplus exists when a government's tax revenues surpasses its total spending (including both program spendin
What is the problem of central economic
Problem: (a) Consider the Classical Linear Regression Model (CLRM) Y i = α + βX i + ε i (i) Using the method of ordinary least squares (OLS), derive an expression for
BUREAUCRACY: M de Gournay, an economist of France, first coined the word Bureaucracy in the eighteenth century to refer to "a fourth or fifth form of Government" in which "off
Consider the following flow (in thousands of people) between the various labour market states in a particular month:
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