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Find the probabilities for the n = 2, l = 0 and n = 2, l...

Find the probabilities for the n = 2, l = 0 and n = 2, l = 1 electron states in hydrogen to be further than r = 5a0 from the nucleus. Which has the greater probability to be far from the nucleus?

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Answer #1

We know from the elliptical orbital concept that,smaller the l value,the greater is the probability of it to spend more time far away from the nucleus due to the higher average radius of the lower l valued orbital.Hence,n=2,l=0 has the higher probability to be far away from the nucleus.The following diagram illustrate the fact-

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