1. (a) Use the equation for energy Eigen values that result from the solution to the infinite square well to estimate the ground state energy (n = 1) in a hydrogen atom by assuming that an electron is confined in an infinite square well with L = 10-¹0 m. this is the average radius of an electron orbit in a hydrogen atom. Give your answer in units of J and eV. (b) Compare your answer in part (a) to the ground state energy value resulting from the use of the Bohr Model. Give your answer in units of J and eV. where, h= h 2πT En moq 2(4πɛ, hn)² mo = 9.11 x 10-31 kg, q = 1.65 x 10-¹⁹ C, &o = 8.85 x 10-¹4. , h = 6.63 x 10-34 JS. Farad cm

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1. (a) Use the equation for energy Eigen values that result from the solution to the infinite
square well to estimate the ground state energy (n = 1) in a hydrogen atom by assuming
that an electron is confined in an infinite square well with L = 10-10 m. this is the average
radius of an electron orbit in a hydrogen atom. Give your answer in units of J and eV.
(b) Compare your answer in part (a) to the ground state energy value resulting from the
use of the Bohr Model. Give your answer in units of J and eV.
En
moq4
2(4π, hn)²
h
where, ħ== m₁ = 9.11 x 10-³1 kg, q = 1.65 x 10-19 C, &o = 8.85 x 10-14.
2πT'
Farad
cm
h = 6.63 x 10-34 Js.
Transcribed Image Text:1. (a) Use the equation for energy Eigen values that result from the solution to the infinite square well to estimate the ground state energy (n = 1) in a hydrogen atom by assuming that an electron is confined in an infinite square well with L = 10-10 m. this is the average radius of an electron orbit in a hydrogen atom. Give your answer in units of J and eV. (b) Compare your answer in part (a) to the ground state energy value resulting from the use of the Bohr Model. Give your answer in units of J and eV. En moq4 2(4π, hn)² h where, ħ== m₁ = 9.11 x 10-³1 kg, q = 1.65 x 10-19 C, &o = 8.85 x 10-14. 2πT' Farad cm h = 6.63 x 10-34 Js.
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