Given: For sake of simplicity, let us consider a particle with mass, m, in one dimension trapped in aninfinite square well potential. The bottom of the potential well has zero potential energy, and theparticle is known to be confined between 0 A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x < b.Somehow, we know that the wave function for the particle is given as:p(x, t) = C e-i@t sina) What is the probability of finding the particle between< x< .b) Is the variable w arbitrary? If yes, explain why. If no, what is the value it must be.c) Is the variable C arbitrary? If yes, explain why. If no, what is the value it must be?

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Answered: A particle of mass, m, moves freely…

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A particle of mass, m, moves freely inside an infinite potential well spanning the range, 0 < x< b. Somehow, we know that the wave function for the particle is given as: 4(x, t) = C e-iwt sin a) What is the probability of finding the particle between