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14970_HOME work 2

# 14970_HOME work 2 - HOME-WORK-2 PART-A 1 The nuclear...

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HOME-WORK-2 PART-A 1. The nuclear potential that binds proton and neutron in a nucleus is often approximated by a square well. Imagine a proton confined in an infinitely high square well of length 10.0fm, a typical nuclear diameter. Calculate the wavelength and energy associated with the photon moves from the n =2 state to the ground state. Identify the region of the electromagnetic spectrum to which this wavelength belongs. 2. An electron is trapped in an infinitely deep potential well .300nm in length.(a) If the electron is in ground state ,what is the probability of finding it within .100nm of the left hand wall?(b)Identify the classical probability of finding the electron in this interval and state how it compares with the answer to part (a) .(c) repeat parts a,b assuming the particle is in the 99 th energy state. 3. Consider a quantum particle moving in a one-diamensional box. For which the walls are at x = -L/2 and x = L/2 (a) write the wave-function and probability density for n = 1,2,3 (b)sketch the wave-functions and probability densities. 4.A particle is described by oone dimensional wave function

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14970_HOME work 2 - HOME-WORK-2 PART-A 1 The nuclear...

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