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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.
Do not submit more than 1 file in the Canvas submission link. A few years ago peanut farmers in India experienced a super-bumper crop due to favorable weather conditions. Initially
CONSIDER THE DEMAND CUVE Q=100-50P DRAW THE DEMAND CURVE AND INDICATE WHICH PORTION OF THE CURVE IS ELASTIC ,WHICH PORTION IS INELASTIC AND WHICH PORTION IS UNIT ELASTIC
THEORY OF REVEALED PREFERENCE: If consumer's taste and preferences do not change, then observation of her market behaviour or, actual act of choice between the commodity sets
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Slutsky Theorem - Mathematical Presentation: We already know from the first order conditions of utility Maximisation that, where D ij is the co-factor of the ith ro
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Economic Cycle The economic cycle is the long-standing sample of alternating times of economic growth (expansion) and decline (recession), followed by changing economic indica
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9. The average supernormal profit for the firm is
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