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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.
Borrowings: The widening fiscal gap led to a steep rise in the outstanding liabilities of the Central Government. The outstanding domestic debt of the Central Government as a
1). Define and explain the concept of an externality. Provide examples of both positive and a negative externality. 2). The Prisoner's Dilemma Exercise:
Use standard indifference curve analysis to demonstrate whether the following statement is true or false. If the objective of government welfare programs is to provide lower inc
What does the basic neoclassical, or traditional, model of economics assume about markets? It supposes that markets are perfectly competitive and smoothly functioning, and thos
Explain the Demand Pull Inflation Demand Pull Inflation: Occurs when aggregate demand exceeds aggregate supply. If there is an excess level of demand in the economy, this w
explain the marginal produtivity theory
what is the total cost if the price of 10,quantity demanded is 900000, at $20 it is 800000? The author is paid 2 million dollars to write a book, the marginal cost of publishing t
Why might an oligopoly be reluctant to change its price? When some large firms have high total market share and are non-collusive, there is a strong element of interdependency.
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1) The Economy cannot be considered fully employed unless the measured unemployment rate is below 1%. Agree or disagree and explain your answer in a paragraph. 2) A) Why would y
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