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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.
could the village prepare 14 campsites and grow 350 pawpaws?explain your answer.
What is optimal choice of consumer according to consumer behavior? Consumer's Optimal Choice: In the fundamental problem of preference maximization, the set of affo
AskPharmaceutical companies can expect to earn large profits from blockbuster drugs (for high blood pressure, depression, ulcers, allergies, sexual dysfunction) while under patent
Uses of price and income elasticity of demand: The concept of price elasticity of demand has some uses whihc include the following: (i) Pricing of goods and services It is
1. Through graphs describe the relationship between the price, P , and the average total cost, ATC , for a firm in perfect competition when it earns an economic profit; earns a n
(a) Differentiate between a command economic system and a laissez-faire. (b) Assess to what extent it is advantageous for an economy when it moves from a controlled to a free-e
Differentiate between nominal and real exchange rate. Nominal exchange rate is the rate which actually prevails in the foreign swap market. The real exchange rate is the rate
Consider a person''s decision problem in trying to decide how many children to have. Although she cares about children and would like to have as many as possible, she knows that ch
Risk Loving - A person is a risk loving if they show a preference toward the uncertain income over a certain income having same expected value. Examples: Gambling, some
"In U.S., there is a culture of greeting people of the same sex. It's not common that people give attention to the people of the opposite sex. However, in the middle class, it's a
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