This problem deals with the probabilistic interpretation of the hydrogen wavefunction.
a. Calculate the probability that a hydrogen 1s electron will be found within a distance of 2a0 from the nucleus.
b. Calculate the radius of the sphere that encloses a 50% probability of finding a hydrogen 1s electron.
c. Calculate the radius of the sphere that encloses a 90% probability of finding a hydrogen 1s electron.
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