Solved: Consider a hydrogen atom in the 1s state. (a) For

Chapter 41, Problem 41.49

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Consider a hydrogen atom in the 1s state. (a) For what value of r is the potential energy U1r2 equal to the total energy E? Express your answer in terms of a. This value of r is called the classical turning point, since this is where a Newtonian particle would stop its motion and reverse direction. (b) For r greater than the classical turning point, U1r2 7 E. Classically, the particle cannot be in this region, since the kinetic energy cannot be negative. Calculate the probability of the electron being found in this classically forbidden region.

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