5. (8 pts) The Hydrogen Atom. You will need Table 14.2 to complete the following problems....

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5. (8 pts) The Hydrogen Atom. You will need Table 14.2 to complete the following problems. (a) Calculate the probability that a 1s electron in a hydrogen atom will be found within (less than or equal to) the Bohr radius, ao. You will need the following integral relationship... a²x2 +2ax + 2 x²e-a* -ax dx = - e-ax a3 (b) How many radial nodes occur for the hydrogen 3s orbital? Calculate the radial positions of these nodes. Express your answers in terms of ao (r = (some #)ao). 5. (8 pts) The Hydrogen Atom. You will need Table 14.2 to complete the following problems. (a) Calculate the probability that a 1s electron in a hydrogen atom will be found within (less than or equal to) the Bohr radius, ao. You will need the following integral relationship... a²x2 +2ax + 2 x²e-a* -ax dx = - e-ax a3 (b) How many radial nodes occur for the hydrogen 3s orbital? Calculate the radial positions of these nodes. Express your answers in terms of ao (r = (some #)ao).

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a The groundstate 1s orbital wave function for hydrogen atom is 1s 1a 0 3 e r a 0 The ... View the full answer