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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.
Explain why each of the following factors may influence the own price elasticity of demand for a commodity. (i) Consumer preferences, that is, whether consumers regard the commod
Measures to control inflation: Fiscal policy is one of the two main macroeconomic policies used to control aggregate demand and thereby achieve economic stability. Fiscal meas
Export Entrepreneurship: This need be developed by providing necessary facilities and making export an attractive and profitable business proposition. In this connection, it
Assume that John has the following preference relation over two goods, bread and bear (x1, x2). He strictly prefers any bundle x over y whenever x haves more bear than y, whatever
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
As a consumer increases the consumption of any one commodity, marginal utility of the variable commodity must eventually decline."Illustrate the statement. Illustrate law of dem
Inflation And Unemployment: Inflation describes a persistent and an appreciable increase in the general price level. The inflation rate is measured as a percentage change in a
#• The price of a laptop increases by 20% and there is a 40% drop in the quantity demanded. • The price of a pack of cigarettes increases by 10% and there is a 5% drop in the quan
Determine whether the ff is counted as part of gdp which of the ff statement are included or excluded 1.1A monthly cheque received by an economic stu
assumptions
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