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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.
DISCUSS THE HICKSIAN & SLUTSKIAN APPROACH TO CONSUMER BEHAVIOR WHERE THERE IS CHANGE IN PRICE OF ONE GOOD GIVEN TWO GOODS
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Explain the Human Development Index Introduced by the UN in 1990, the index take into account not only the goods and services formed but also the ability of a population to use
how to control principal agent
#question.Question: Answer all parts (a, b, c, d, e & f). Consider the following insurance market. There are two states of the world, B and G, and two types of consumers, H and L,
Problem 1: i) How might unemployment arise? ii) Critically explain how fiscal policy can be used to reduce the unemployment rate in an economy. iii) ‘'Inflation always
Why do demand curves generally slope downward? The demand curve slopes downward because in general, the higher the price of the good, the fewer people will need to buy it.
The recent flooding in the upper Midwest destroyed a important proportion of the corn crop. Though, it has been discovered that corn oil is far better in keeping cholesterol withi
The idea for the national accounts came during the 1930s depression in the U.S., when decision-makers wanted to get a better sense of by how much economic production had fallen. Si
INFO: Suppose that a firm is currently employing 20 workers,(the only variable input), at a wage rate of $60. The average product of labor is $30, the last worker added 12 units to
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