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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.
Example of a cost function
Potentials of Productivity Growth: It needs to be noted that growth in productivity witnessed in the past are an average rate at the All-India level. There are considerable re
x-3y+6z=1 2x-5y+10z=0 3x-8y+17z=1
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
i when should continue to produce in the short run
Consider what would happen if a taxes of 10000$ was imposed on imported automobiles on dealers.Using a demand and supply diagram, show its impact of price and quantity. Suppose the
Does the curve represent if the risk is NOT taken and the line connecting two points on the curve represents if the risk IS taken?
illustrate and explain the changing demand for big mac using indifference curve and budget line
During the 1990s, technological advance reduced the cost of computer chips. Explain, with the use of supply and demand diagrams, how the following markets are affected in terms of
JOINT DEMAND AND COMPETITIVE
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